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Finding the Fourth Proportional to 1,100.90, 1,655.40 and 922.70

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Solution

The fourth proportional to 1,100.90, 1,655.40 and 922.70 is: 1,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.90 : 1,655.40 = 922.70 : x
  2. Step 2: Convert to fraction form
    1,100.90/1,655.40 = 922.70/x
  3. Step 3: Cross multiply
    1,100.90x = 1,655.40 × 922.70
  4. Step 4: Simplify right side
    1,100.90x = 1,527,437.58
  5. Step 5: Solve for x
    x = 1,527,437.58/1,100.90
  6. Step 6: Final answer
    x = 1,387.44

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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.