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Finding the Fourth Proportional to 815.21, 1,124.97 and 442.17

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Solution

The fourth proportional to 815.21, 1,124.97 and 442.17 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.21 : 1,124.97 = 442.17 : x
  2. Step 2: Convert to fraction form
    815.21/1,124.97 = 442.17/x
  3. Step 3: Cross multiply
    815.21x = 1,124.97 × 442.17
  4. Step 4: Simplify right side
    815.21x = 497,427.98
  5. Step 5: Solve for x
    x = 497,427.98/815.21
  6. Step 6: Final answer
    x = 610.19

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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.