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Finding the Fourth Proportional to 815.17, 1,124.92 and 442.14

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Solution

The fourth proportional to 815.17, 1,124.92 and 442.14 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.17 : 1,124.92 = 442.14 : x
  2. Step 2: Convert to fraction form
    815.17/1,124.92 = 442.14/x
  3. Step 3: Cross multiply
    815.17x = 1,124.92 × 442.14
  4. Step 4: Simplify right side
    815.17x = 497,369.92
  5. Step 5: Solve for x
    x = 497,369.92/815.17
  6. Step 6: Final answer
    x = 610.14

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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.