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Finding the Fourth Proportional to 773.30, 1,160.14 and 557.30

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Solution

The fourth proportional to 773.30, 1,160.14 and 557.30 is: 836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.30 : 1,160.14 = 557.30 : x
  2. Step 2: Convert to fraction form
    773.30/1,160.14 = 557.30/x
  3. Step 3: Cross multiply
    773.30x = 1,160.14 × 557.30
  4. Step 4: Simplify right side
    773.30x = 646,546.02
  5. Step 5: Solve for x
    x = 646,546.02/773.30
  6. Step 6: Final answer
    x = 836.09

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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.