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Finding the Fourth Proportional to 1,102.89, 1,654.26 and 322.86

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Solution

The fourth proportional to 1,102.89, 1,654.26 and 322.86 is: 484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.89 : 1,654.26 = 322.86 : x
  2. Step 2: Convert to fraction form
    1,102.89/1,654.26 = 322.86/x
  3. Step 3: Cross multiply
    1,102.89x = 1,654.26 × 322.86
  4. Step 4: Simplify right side
    1,102.89x = 534,094.38
  5. Step 5: Solve for x
    x = 534,094.38/1,102.89
  6. Step 6: Final answer
    x = 484.27

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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.