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Finding the Fourth Proportional to 1,000.83, 1,380.99 and 558.63

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Solution

The fourth proportional to 1,000.83, 1,380.99 and 558.63 is: 770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.83 : 1,380.99 = 558.63 : x
  2. Step 2: Convert to fraction form
    1,000.83/1,380.99 = 558.63/x
  3. Step 3: Cross multiply
    1,000.83x = 1,380.99 × 558.63
  4. Step 4: Simplify right side
    1,000.83x = 771,462.44
  5. Step 5: Solve for x
    x = 771,462.44/1,000.83
  6. Step 6: Final answer
    x = 770.82

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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.