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Finding the Fourth Proportional to 1,000.68, 1,380.96 and 558.64

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Solution

The fourth proportional to 1,000.68, 1,380.96 and 558.64 is: 770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.68 : 1,380.96 = 558.64 : x
  2. Step 2: Convert to fraction form
    1,000.68/1,380.96 = 558.64/x
  3. Step 3: Cross multiply
    1,000.68x = 1,380.96 × 558.64
  4. Step 4: Simplify right side
    1,000.68x = 771,459.49
  5. Step 5: Solve for x
    x = 771,459.49/1,000.68
  6. Step 6: Final answer
    x = 770.94

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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.