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Finding the Fourth Proportional to 1,000.42, 1,382.50 and 721.58

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Solution

The fourth proportional to 1,000.42, 1,382.50 and 721.58 is: 997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.42 : 1,382.50 = 721.58 : x
  2. Step 2: Convert to fraction form
    1,000.42/1,382.50 = 721.58/x
  3. Step 3: Cross multiply
    1,000.42x = 1,382.50 × 721.58
  4. Step 4: Simplify right side
    1,000.42x = 997,584.35
  5. Step 5: Solve for x
    x = 997,584.35/1,000.42
  6. Step 6: Final answer
    x = 997.17

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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.