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Finding the Fourth Proportional to 747.47, 1,120.67 and 381.98

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Solution

The fourth proportional to 747.47, 1,120.67 and 381.98 is: 572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.47 : 1,120.67 = 381.98 : x
  2. Step 2: Convert to fraction form
    747.47/1,120.67 = 381.98/x
  3. Step 3: Cross multiply
    747.47x = 1,120.67 × 381.98
  4. Step 4: Simplify right side
    747.47x = 428,075.85
  5. Step 5: Solve for x
    x = 428,075.85/747.47
  6. Step 6: Final answer
    x = 572.70

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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.