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Finding the Fourth Proportional to 902.51, 1,352.84 and 433.15

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Solution

The fourth proportional to 902.51, 1,352.84 and 433.15 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.51 : 1,352.84 = 433.15 : x
  2. Step 2: Convert to fraction form
    902.51/1,352.84 = 433.15/x
  3. Step 3: Cross multiply
    902.51x = 1,352.84 × 433.15
  4. Step 4: Simplify right side
    902.51x = 585,977.10
  5. Step 5: Solve for x
    x = 585,977.10/902.51
  6. Step 6: Final answer
    x = 649.28

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.