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Finding the Fourth Proportional to 1,154.98, 1,732.06 and 538.57

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Solution

The fourth proportional to 1,154.98, 1,732.06 and 538.57 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.98 : 1,732.06 = 538.57 : x
  2. Step 2: Convert to fraction form
    1,154.98/1,732.06 = 538.57/x
  3. Step 3: Cross multiply
    1,154.98x = 1,732.06 × 538.57
  4. Step 4: Simplify right side
    1,154.98x = 932,824.20
  5. Step 5: Solve for x
    x = 932,824.20/1,154.98
  6. Step 6: Final answer
    x = 807.66

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Why These Related Problems?

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