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Finding the Fourth Proportional to 1,102.88, 1,654.97 and 410.02

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Solution

The fourth proportional to 1,102.88, 1,654.97 and 410.02 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.88 : 1,654.97 = 410.02 : x
  2. Step 2: Convert to fraction form
    1,102.88/1,654.97 = 410.02/x
  3. Step 3: Cross multiply
    1,102.88x = 1,654.97 × 410.02
  4. Step 4: Simplify right side
    1,102.88x = 678,564.61
  5. Step 5: Solve for x
    x = 678,564.61/1,102.88
  6. Step 6: Final answer
    x = 615.26

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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.