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Finding the Fourth Proportional to 805.74, 1,206.17 and 458.45

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Solution

The fourth proportional to 805.74, 1,206.17 and 458.45 is: 686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.74 : 1,206.17 = 458.45 : x
  2. Step 2: Convert to fraction form
    805.74/1,206.17 = 458.45/x
  3. Step 3: Cross multiply
    805.74x = 1,206.17 × 458.45
  4. Step 4: Simplify right side
    805.74x = 552,968.64
  5. Step 5: Solve for x
    x = 552,968.64/805.74
  6. Step 6: Final answer
    x = 686.29

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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.