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Finding the Fourth Proportional to 747.06, 1,119.87 and 473.46

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Solution

The fourth proportional to 747.06, 1,119.87 and 473.46 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.06 : 1,119.87 = 473.46 : x
  2. Step 2: Convert to fraction form
    747.06/1,119.87 = 473.46/x
  3. Step 3: Cross multiply
    747.06x = 1,119.87 × 473.46
  4. Step 4: Simplify right side
    747.06x = 530,213.65
  5. Step 5: Solve for x
    x = 530,213.65/747.06
  6. Step 6: Final answer
    x = 709.73

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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.