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Finding the Fourth Proportional to 1,073.71, 1,610.16 and 457.03

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Solution

The fourth proportional to 1,073.71, 1,610.16 and 457.03 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.71 : 1,610.16 = 457.03 : x
  2. Step 2: Convert to fraction form
    1,073.71/1,610.16 = 457.03/x
  3. Step 3: Cross multiply
    1,073.71x = 1,610.16 × 457.03
  4. Step 4: Simplify right side
    1,073.71x = 735,891.42
  5. Step 5: Solve for x
    x = 735,891.42/1,073.71
  6. Step 6: Final answer
    x = 685.37

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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.