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Finding the Fourth Proportional to 1,123.91, 1,684.71 and 430.39

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Solution

The fourth proportional to 1,123.91, 1,684.71 and 430.39 is: 645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.91 : 1,684.71 = 430.39 : x
  2. Step 2: Convert to fraction form
    1,123.91/1,684.71 = 430.39/x
  3. Step 3: Cross multiply
    1,123.91x = 1,684.71 × 430.39
  4. Step 4: Simplify right side
    1,123.91x = 725,082.34
  5. Step 5: Solve for x
    x = 725,082.34/1,123.91
  6. Step 6: Final answer
    x = 645.14

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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.