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Finding the Fourth Proportional to 1,000.88, 1,381.28 and 558.71

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Solution

The fourth proportional to 1,000.88, 1,381.28 and 558.71 is: 771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.88 : 1,381.28 = 558.71 : x
  2. Step 2: Convert to fraction form
    1,000.88/1,381.28 = 558.71/x
  3. Step 3: Cross multiply
    1,000.88x = 1,381.28 × 558.71
  4. Step 4: Simplify right side
    1,000.88x = 771,725.25
  5. Step 5: Solve for x
    x = 771,725.25/1,000.88
  6. Step 6: Final answer
    x = 771.05

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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.