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Finding the Fourth Proportional to 1,039.57, 1,559.86 and 491.10

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Solution

The fourth proportional to 1,039.57, 1,559.86 and 491.10 is: 736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.57 : 1,559.86 = 491.10 : x
  2. Step 2: Convert to fraction form
    1,039.57/1,559.86 = 491.10/x
  3. Step 3: Cross multiply
    1,039.57x = 1,559.86 × 491.10
  4. Step 4: Simplify right side
    1,039.57x = 766,040.17
  5. Step 5: Solve for x
    x = 766,040.17/1,039.57
  6. Step 6: Final answer
    x = 736.88

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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.