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Finding the Fourth Proportional to 815.31, 1,125.27 and 594.90

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Solution

The fourth proportional to 815.31, 1,125.27 and 594.90 is: 821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.31 : 1,125.27 = 594.90 : x
  2. Step 2: Convert to fraction form
    815.31/1,125.27 = 594.90/x
  3. Step 3: Cross multiply
    815.31x = 1,125.27 × 594.90
  4. Step 4: Simplify right side
    815.31x = 669,423.12
  5. Step 5: Solve for x
    x = 669,423.12/815.31
  6. Step 6: Final answer
    x = 821.07

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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.