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Finding the Fourth Proportional to 749.72, 1,124.58 and 316.87

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Solution

The fourth proportional to 749.72, 1,124.58 and 316.87 is: 475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.72 : 1,124.58 = 316.87 : x
  2. Step 2: Convert to fraction form
    749.72/1,124.58 = 316.87/x
  3. Step 3: Cross multiply
    749.72x = 1,124.58 × 316.87
  4. Step 4: Simplify right side
    749.72x = 356,345.66
  5. Step 5: Solve for x
    x = 356,345.66/749.72
  6. Step 6: Final answer
    x = 475.31

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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.