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Finding the Fourth Proportional to 815.97, 1,127.52 and 594.53

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Solution

The fourth proportional to 815.97, 1,127.52 and 594.53 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.97 : 1,127.52 = 594.53 : x
  2. Step 2: Convert to fraction form
    815.97/1,127.52 = 594.53/x
  3. Step 3: Cross multiply
    815.97x = 1,127.52 × 594.53
  4. Step 4: Simplify right side
    815.97x = 670,344.47
  5. Step 5: Solve for x
    x = 670,344.47/815.97
  6. Step 6: Final answer
    x = 821.54

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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.