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Finding the Fourth Proportional to 1,123.70, 1,685.55 and 1,022.90

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Solution

The fourth proportional to 1,123.70, 1,685.55 and 1,022.90 is: 1,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.70 : 1,685.55 = 1,022.90 : x
  2. Step 2: Convert to fraction form
    1,123.70/1,685.55 = 1,022.90/x
  3. Step 3: Cross multiply
    1,123.70x = 1,685.55 × 1,022.90
  4. Step 4: Simplify right side
    1,123.70x = 1,724,149.10
  5. Step 5: Solve for x
    x = 1,724,149.10/1,123.70
  6. Step 6: Final answer
    x = 1,534.35

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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.