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Finding the Fourth Proportional to 747.89, 1,122.05 and 473.60

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Solution

The fourth proportional to 747.89, 1,122.05 and 473.60 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.89 : 1,122.05 = 473.60 : x
  2. Step 2: Convert to fraction form
    747.89/1,122.05 = 473.60/x
  3. Step 3: Cross multiply
    747.89x = 1,122.05 × 473.60
  4. Step 4: Simplify right side
    747.89x = 531,402.88
  5. Step 5: Solve for x
    x = 531,402.88/747.89
  6. Step 6: Final answer
    x = 710.54

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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.