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Finding the Fourth Proportional to 1,000.80, 1,381.74 and 627.96

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Solution

The fourth proportional to 1,000.80, 1,381.74 and 627.96 is: 866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.80 : 1,381.74 = 627.96 : x
  2. Step 2: Convert to fraction form
    1,000.80/1,381.74 = 627.96/x
  3. Step 3: Cross multiply
    1,000.80x = 1,381.74 × 627.96
  4. Step 4: Simplify right side
    1,000.80x = 867,677.45
  5. Step 5: Solve for x
    x = 867,677.45/1,000.80
  6. Step 6: Final answer
    x = 866.98

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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.