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Finding the Fourth Proportional to 1,132.25, 1,698.53 and 401.63

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Solution

The fourth proportional to 1,132.25, 1,698.53 and 401.63 is: 602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.25 : 1,698.53 = 401.63 : x
  2. Step 2: Convert to fraction form
    1,132.25/1,698.53 = 401.63/x
  3. Step 3: Cross multiply
    1,132.25x = 1,698.53 × 401.63
  4. Step 4: Simplify right side
    1,132.25x = 682,170.10
  5. Step 5: Solve for x
    x = 682,170.10/1,132.25
  6. Step 6: Final answer
    x = 602.49

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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.