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Finding the Fourth Proportional to 847.38, 1,170.54 and 663.20

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Solution

The fourth proportional to 847.38, 1,170.54 and 663.20 is: 916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.38 : 1,170.54 = 663.20 : x
  2. Step 2: Convert to fraction form
    847.38/1,170.54 = 663.20/x
  3. Step 3: Cross multiply
    847.38x = 1,170.54 × 663.20
  4. Step 4: Simplify right side
    847.38x = 776,296.28
  5. Step 5: Solve for x
    x = 776,296.28/847.38
  6. Step 6: Final answer
    x = 916.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.