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Finding the Fourth Proportional to 1,118.27, 1,677.97 and 460.63

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Solution

The fourth proportional to 1,118.27, 1,677.97 and 460.63 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.27 : 1,677.97 = 460.63 : x
  2. Step 2: Convert to fraction form
    1,118.27/1,677.97 = 460.63/x
  3. Step 3: Cross multiply
    1,118.27x = 1,677.97 × 460.63
  4. Step 4: Simplify right side
    1,118.27x = 772,923.32
  5. Step 5: Solve for x
    x = 772,923.32/1,118.27
  6. Step 6: Final answer
    x = 691.18

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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.