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Finding the Fourth Proportional to 815.76, 1,124.28 and 594.36

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Solution

The fourth proportional to 815.76, 1,124.28 and 594.36 is: 819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,124.28 = 594.36 : x
  2. Step 2: Convert to fraction form
    815.76/1,124.28 = 594.36/x
  3. Step 3: Cross multiply
    815.76x = 1,124.28 × 594.36
  4. Step 4: Simplify right side
    815.76x = 668,227.06
  5. Step 5: Solve for x
    x = 668,227.06/815.76
  6. Step 6: Final answer
    x = 819.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.