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Finding the Fourth Proportional to 1,123.82, 1,686.02 and 430.55

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Solution

The fourth proportional to 1,123.82, 1,686.02 and 430.55 is: 645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.82 : 1,686.02 = 430.55 : x
  2. Step 2: Convert to fraction form
    1,123.82/1,686.02 = 430.55/x
  3. Step 3: Cross multiply
    1,123.82x = 1,686.02 × 430.55
  4. Step 4: Simplify right side
    1,123.82x = 725,921.49
  5. Step 5: Solve for x
    x = 725,921.49/1,123.82
  6. Step 6: Final answer
    x = 645.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.