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Finding the Fourth Proportional to 748.51, 1,122.74 and 286.51

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Solution

The fourth proportional to 748.51, 1,122.74 and 286.51 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.51 : 1,122.74 = 286.51 : x
  2. Step 2: Convert to fraction form
    748.51/1,122.74 = 286.51/x
  3. Step 3: Cross multiply
    748.51x = 1,122.74 × 286.51
  4. Step 4: Simplify right side
    748.51x = 321,674.80
  5. Step 5: Solve for x
    x = 321,674.80/748.51
  6. Step 6: Final answer
    x = 429.75

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Double scale
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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.