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Finding the Fourth Proportional to 747.57, 1,120.64 and 472.98

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Solution

The fourth proportional to 747.57, 1,120.64 and 472.98 is: 709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.57 : 1,120.64 = 472.98 : x
  2. Step 2: Convert to fraction form
    747.57/1,120.64 = 472.98/x
  3. Step 3: Cross multiply
    747.57x = 1,120.64 × 472.98
  4. Step 4: Simplify right side
    747.57x = 530,037.94
  5. Step 5: Solve for x
    x = 530,037.94/747.57
  6. Step 6: Final answer
    x = 709.01

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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.