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Finding the Fourth Proportional to 1,102.86, 1,654.32 and 322.92

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Solution

The fourth proportional to 1,102.86, 1,654.32 and 322.92 is: 484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.86 : 1,654.32 = 322.92 : x
  2. Step 2: Convert to fraction form
    1,102.86/1,654.32 = 322.92/x
  3. Step 3: Cross multiply
    1,102.86x = 1,654.32 × 322.92
  4. Step 4: Simplify right side
    1,102.86x = 534,213.01
  5. Step 5: Solve for x
    x = 534,213.01/1,102.86
  6. Step 6: Final answer
    x = 484.39

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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.