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Finding the Fourth Proportional to 1,159.18, 1,738 and 542.88

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Solution

The fourth proportional to 1,159.18, 1,738 and 542.88 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.18 : 1,738 = 542.88 : x
  2. Step 2: Convert to fraction form
    1,159.18/1,738 = 542.88/x
  3. Step 3: Cross multiply
    1,159.18x = 1,738 × 542.88
  4. Step 4: Simplify right side
    1,159.18x = 943,525.44
  5. Step 5: Solve for x
    x = 943,525.44/1,159.18
  6. Step 6: Final answer
    x = 813.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.