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Finding the Fourth Proportional to 677.88, 1,016.40 and 460.80

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Solution

The fourth proportional to 677.88, 1,016.40 and 460.80 is: 690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 1,016.40 = 460.80 : x
  2. Step 2: Convert to fraction form
    677.88/1,016.40 = 460.80/x
  3. Step 3: Cross multiply
    677.88x = 1,016.40 × 460.80
  4. Step 4: Simplify right side
    677.88x = 468,357.12
  5. Step 5: Solve for x
    x = 468,357.12/677.88
  6. Step 6: Final answer
    x = 690.91

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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.