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Finding the Fourth Proportional to 1,155.47, 1,732.87 and 538.56

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Solution

The fourth proportional to 1,155.47, 1,732.87 and 538.56 is: 807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.47 : 1,732.87 = 538.56 : x
  2. Step 2: Convert to fraction form
    1,155.47/1,732.87 = 538.56/x
  3. Step 3: Cross multiply
    1,155.47x = 1,732.87 × 538.56
  4. Step 4: Simplify right side
    1,155.47x = 933,255.14
  5. Step 5: Solve for x
    x = 933,255.14/1,155.47
  6. Step 6: Final answer
    x = 807.69

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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.