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Finding the Fourth Proportional to 1,073.32, 1,610.70 and 496.24

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Solution

The fourth proportional to 1,073.32, 1,610.70 and 496.24 is: 744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.32 : 1,610.70 = 496.24 : x
  2. Step 2: Convert to fraction form
    1,073.32/1,610.70 = 496.24/x
  3. Step 3: Cross multiply
    1,073.32x = 1,610.70 × 496.24
  4. Step 4: Simplify right side
    1,073.32x = 799,293.77
  5. Step 5: Solve for x
    x = 799,293.77/1,073.32
  6. Step 6: Final answer
    x = 744.69

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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.