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Finding the Fourth Proportional to 804.52, 1,204.91 and 686.10

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Solution

The fourth proportional to 804.52, 1,204.91 and 686.10 is: 1,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.52 : 1,204.91 = 686.10 : x
  2. Step 2: Convert to fraction form
    804.52/1,204.91 = 686.10/x
  3. Step 3: Cross multiply
    804.52x = 1,204.91 × 686.10
  4. Step 4: Simplify right side
    804.52x = 826,690.47
  5. Step 5: Solve for x
    x = 826,690.47/804.52
  6. Step 6: Final answer
    x = 1,027.56

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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.