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Finding the Fourth Proportional to 815.28, 1,123.90 and 582

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Solution

The fourth proportional to 815.28, 1,123.90 and 582 is: 802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.28 : 1,123.90 = 582 : x
  2. Step 2: Convert to fraction form
    815.28/1,123.90 = 582/x
  3. Step 3: Cross multiply
    815.28x = 1,123.90 × 582
  4. Step 4: Simplify right side
    815.28x = 654,109.80
  5. Step 5: Solve for x
    x = 654,109.80/815.28
  6. Step 6: Final answer
    x = 802.31

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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.