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Finding the Fourth Proportional to 921.64, 1,380.86 and 632.04

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Solution

The fourth proportional to 921.64, 1,380.86 and 632.04 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.64 : 1,380.86 = 632.04 : x
  2. Step 2: Convert to fraction form
    921.64/1,380.86 = 632.04/x
  3. Step 3: Cross multiply
    921.64x = 1,380.86 × 632.04
  4. Step 4: Simplify right side
    921.64x = 872,758.75
  5. Step 5: Solve for x
    x = 872,758.75/921.64
  6. Step 6: Final answer
    x = 946.96

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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.