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Finding the Fourth Proportional to 1,155.08, 1,732.98 and 462.13

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Solution

The fourth proportional to 1,155.08, 1,732.98 and 462.13 is: 693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.08 : 1,732.98 = 462.13 : x
  2. Step 2: Convert to fraction form
    1,155.08/1,732.98 = 462.13/x
  3. Step 3: Cross multiply
    1,155.08x = 1,732.98 × 462.13
  4. Step 4: Simplify right side
    1,155.08x = 800,853.38
  5. Step 5: Solve for x
    x = 800,853.38/1,155.08
  6. Step 6: Final answer
    x = 693.33

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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.