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Finding the Fourth Proportional to 1,123.57, 1,549.65 and 730.72

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Solution

The fourth proportional to 1,123.57, 1,549.65 and 730.72 is: 1,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.57 : 1,549.65 = 730.72 : x
  2. Step 2: Convert to fraction form
    1,123.57/1,549.65 = 730.72/x
  3. Step 3: Cross multiply
    1,123.57x = 1,549.65 × 730.72
  4. Step 4: Simplify right side
    1,123.57x = 1,132,360.25
  5. Step 5: Solve for x
    x = 1,132,360.25/1,123.57
  6. Step 6: Final answer
    x = 1,007.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.