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Finding the Fourth Proportional to 1,155.08, 1,732.57 and 424.61

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Solution

The fourth proportional to 1,155.08, 1,732.57 and 424.61 is: 636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.08 : 1,732.57 = 424.61 : x
  2. Step 2: Convert to fraction form
    1,155.08/1,732.57 = 424.61/x
  3. Step 3: Cross multiply
    1,155.08x = 1,732.57 × 424.61
  4. Step 4: Simplify right side
    1,155.08x = 735,655.76
  5. Step 5: Solve for x
    x = 735,655.76/1,155.08
  6. Step 6: Final answer
    x = 636.89

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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.