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Finding the Fourth Proportional to 1,104.48, 1,654.32 and 974.88

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Solution

The fourth proportional to 1,104.48, 1,654.32 and 974.88 is: 1,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.48 : 1,654.32 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,104.48/1,654.32 = 974.88/x
  3. Step 3: Cross multiply
    1,104.48x = 1,654.32 × 974.88
  4. Step 4: Simplify right side
    1,104.48x = 1,612,763.48
  5. Step 5: Solve for x
    x = 1,612,763.48/1,104.48
  6. Step 6: Final answer
    x = 1,460.20

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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.