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Finding the Fourth Proportional to 1,102.98, 1,654.07 and 640.88

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Solution

The fourth proportional to 1,102.98, 1,654.07 and 640.88 is: 961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.98 : 1,654.07 = 640.88 : x
  2. Step 2: Convert to fraction form
    1,102.98/1,654.07 = 640.88/x
  3. Step 3: Cross multiply
    1,102.98x = 1,654.07 × 640.88
  4. Step 4: Simplify right side
    1,102.98x = 1,060,048.91
  5. Step 5: Solve for x
    x = 1,060,048.91/1,102.98
  6. Step 6: Final answer
    x = 961.08

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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.