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Finding the Fourth Proportional to 1,123.57, 1,684.18 and 430.17

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Solution

The fourth proportional to 1,123.57, 1,684.18 and 430.17 is: 644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.57 : 1,684.18 = 430.17 : x
  2. Step 2: Convert to fraction form
    1,123.57/1,684.18 = 430.17/x
  3. Step 3: Cross multiply
    1,123.57x = 1,684.18 × 430.17
  4. Step 4: Simplify right side
    1,123.57x = 724,483.71
  5. Step 5: Solve for x
    x = 724,483.71/1,123.57
  6. Step 6: Final answer
    x = 644.81

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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.