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Finding the Fourth Proportional to 1,065.31, 1,597.42 and 487.69

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Solution

The fourth proportional to 1,065.31, 1,597.42 and 487.69 is: 731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.31 : 1,597.42 = 487.69 : x
  2. Step 2: Convert to fraction form
    1,065.31/1,597.42 = 487.69/x
  3. Step 3: Cross multiply
    1,065.31x = 1,597.42 × 487.69
  4. Step 4: Simplify right side
    1,065.31x = 779,041.77
  5. Step 5: Solve for x
    x = 779,041.77/1,065.31
  6. Step 6: Final answer
    x = 731.28

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