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Finding the Fourth Proportional to 749.73, 1,123.87 and 287.15

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Solution

The fourth proportional to 749.73, 1,123.87 and 287.15 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.73 : 1,123.87 = 287.15 : x
  2. Step 2: Convert to fraction form
    749.73/1,123.87 = 287.15/x
  3. Step 3: Cross multiply
    749.73x = 1,123.87 × 287.15
  4. Step 4: Simplify right side
    749.73x = 322,721.36
  5. Step 5: Solve for x
    x = 322,721.36/749.73
  6. Step 6: Final answer
    x = 430.45

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Why These Related Problems?

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