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Finding the Fourth Proportional to 1,061.64, 1,591.27 and 499.05

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Solution

The fourth proportional to 1,061.64, 1,591.27 and 499.05 is: 748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.64 : 1,591.27 = 499.05 : x
  2. Step 2: Convert to fraction form
    1,061.64/1,591.27 = 499.05/x
  3. Step 3: Cross multiply
    1,061.64x = 1,591.27 × 499.05
  4. Step 4: Simplify right side
    1,061.64x = 794,130.82
  5. Step 5: Solve for x
    x = 794,130.82/1,061.64
  6. Step 6: Final answer
    x = 748.02

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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.