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Finding the Fourth Proportional to 815.17, 1,124.40 and 535.66

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Solution

The fourth proportional to 815.17, 1,124.40 and 535.66 is: 738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.17 : 1,124.40 = 535.66 : x
  2. Step 2: Convert to fraction form
    815.17/1,124.40 = 535.66/x
  3. Step 3: Cross multiply
    815.17x = 1,124.40 × 535.66
  4. Step 4: Simplify right side
    815.17x = 602,296.10
  5. Step 5: Solve for x
    x = 602,296.10/815.17
  6. Step 6: Final answer
    x = 738.86

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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.