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Finding the Fourth Proportional to 921.87, 1,382.54 and 373.95

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Solution

The fourth proportional to 921.87, 1,382.54 and 373.95 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.87 : 1,382.54 = 373.95 : x
  2. Step 2: Convert to fraction form
    921.87/1,382.54 = 373.95/x
  3. Step 3: Cross multiply
    921.87x = 1,382.54 × 373.95
  4. Step 4: Simplify right side
    921.87x = 516,998.96
  5. Step 5: Solve for x
    x = 516,998.96/921.87
  6. Step 6: Final answer
    x = 560.82

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Why These Related Problems?

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