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Finding the Fourth Proportional to 747.80, 1,120.78 and 285.26

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Solution

The fourth proportional to 747.80, 1,120.78 and 285.26 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.80 : 1,120.78 = 285.26 : x
  2. Step 2: Convert to fraction form
    747.80/1,120.78 = 285.26/x
  3. Step 3: Cross multiply
    747.80x = 1,120.78 × 285.26
  4. Step 4: Simplify right side
    747.80x = 319,708.46
  5. Step 5: Solve for x
    x = 319,708.46/747.80
  6. Step 6: Final answer
    x = 427.53

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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.