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Finding the Fourth Proportional to 1,000.17, 1,380.67 and 716.78

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Solution

The fourth proportional to 1,000.17, 1,380.67 and 716.78 is: 989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.17 : 1,380.67 = 716.78 : x
  2. Step 2: Convert to fraction form
    1,000.17/1,380.67 = 716.78/x
  3. Step 3: Cross multiply
    1,000.17x = 1,380.67 × 716.78
  4. Step 4: Simplify right side
    1,000.17x = 989,638.30
  5. Step 5: Solve for x
    x = 989,638.30/1,000.17
  6. Step 6: Final answer
    x = 989.47

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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.