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Finding the Fourth Proportional to 1,118.58, 1,677.90 and 296.82

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Solution

The fourth proportional to 1,118.58, 1,677.90 and 296.82 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.58 : 1,677.90 = 296.82 : x
  2. Step 2: Convert to fraction form
    1,118.58/1,677.90 = 296.82/x
  3. Step 3: Cross multiply
    1,118.58x = 1,677.90 × 296.82
  4. Step 4: Simplify right side
    1,118.58x = 498,034.28
  5. Step 5: Solve for x
    x = 498,034.28/1,118.58
  6. Step 6: Final answer
    x = 445.24

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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.