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Finding the Fourth Proportional to 1,118.52, 1,678.31 and 460.87

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Solution

The fourth proportional to 1,118.52, 1,678.31 and 460.87 is: 691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.52 : 1,678.31 = 460.87 : x
  2. Step 2: Convert to fraction form
    1,118.52/1,678.31 = 460.87/x
  3. Step 3: Cross multiply
    1,118.52x = 1,678.31 × 460.87
  4. Step 4: Simplify right side
    1,118.52x = 773,485.98
  5. Step 5: Solve for x
    x = 773,485.98/1,118.52
  6. Step 6: Final answer
    x = 691.53

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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.