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Finding the Fourth Proportional to 747.14, 1,120.96 and 554.68

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Solution

The fourth proportional to 747.14, 1,120.96 and 554.68 is: 832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.14 : 1,120.96 = 554.68 : x
  2. Step 2: Convert to fraction form
    747.14/1,120.96 = 554.68/x
  3. Step 3: Cross multiply
    747.14x = 1,120.96 × 554.68
  4. Step 4: Simplify right side
    747.14x = 621,774.09
  5. Step 5: Solve for x
    x = 621,774.09/747.14
  6. Step 6: Final answer
    x = 832.21

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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.