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Finding the Fourth Proportional to 1,123.79, 1,685.69 and 474.17

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Solution

The fourth proportional to 1,123.79, 1,685.69 and 474.17 is: 711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.79 : 1,685.69 = 474.17 : x
  2. Step 2: Convert to fraction form
    1,123.79/1,685.69 = 474.17/x
  3. Step 3: Cross multiply
    1,123.79x = 1,685.69 × 474.17
  4. Step 4: Simplify right side
    1,123.79x = 799,301.26
  5. Step 5: Solve for x
    x = 799,301.26/1,123.79
  6. Step 6: Final answer
    x = 711.26

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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.