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Finding the Fourth Proportional to 677.57, 1,016.35 and 460.69

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Solution

The fourth proportional to 677.57, 1,016.35 and 460.69 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.57 : 1,016.35 = 460.69 : x
  2. Step 2: Convert to fraction form
    677.57/1,016.35 = 460.69/x
  3. Step 3: Cross multiply
    677.57x = 1,016.35 × 460.69
  4. Step 4: Simplify right side
    677.57x = 468,218.59
  5. Step 5: Solve for x
    x = 468,218.59/677.57
  6. Step 6: Final answer
    x = 691.03

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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.