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Finding the Fourth Proportional to 819.28, 1,130.32 and 524.64

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Solution

The fourth proportional to 819.28, 1,130.32 and 524.64 is: 723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.28 : 1,130.32 = 524.64 : x
  2. Step 2: Convert to fraction form
    819.28/1,130.32 = 524.64/x
  3. Step 3: Cross multiply
    819.28x = 1,130.32 × 524.64
  4. Step 4: Simplify right side
    819.28x = 593,011.08
  5. Step 5: Solve for x
    x = 593,011.08/819.28
  6. Step 6: Final answer
    x = 723.82

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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.