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Finding the Fourth Proportional to 921.87, 1,384.65 and 575.82

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Solution

The fourth proportional to 921.87, 1,384.65 and 575.82 is: 864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.87 : 1,384.65 = 575.82 : x
  2. Step 2: Convert to fraction form
    921.87/1,384.65 = 575.82/x
  3. Step 3: Cross multiply
    921.87x = 1,384.65 × 575.82
  4. Step 4: Simplify right side
    921.87x = 797,309.16
  5. Step 5: Solve for x
    x = 797,309.16/921.87
  6. Step 6: Final answer
    x = 864.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.