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Finding the Fourth Proportional to 1,000.32, 1,380.96 and 689.28

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Solution

The fourth proportional to 1,000.32, 1,380.96 and 689.28 is: 951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.32 : 1,380.96 = 689.28 : x
  2. Step 2: Convert to fraction form
    1,000.32/1,380.96 = 689.28/x
  3. Step 3: Cross multiply
    1,000.32x = 1,380.96 × 689.28
  4. Step 4: Simplify right side
    1,000.32x = 951,868.11
  5. Step 5: Solve for x
    x = 951,868.11/1,000.32
  6. Step 6: Final answer
    x = 951.56

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1.5x scale

Why These Related Problems?

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