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Finding the Fourth Proportional to 677.53, 1,016.40 and 287.53

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Solution

The fourth proportional to 677.53, 1,016.40 and 287.53 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.53 : 1,016.40 = 287.53 : x
  2. Step 2: Convert to fraction form
    677.53/1,016.40 = 287.53/x
  3. Step 3: Cross multiply
    677.53x = 1,016.40 × 287.53
  4. Step 4: Simplify right side
    677.53x = 292,245.49
  5. Step 5: Solve for x
    x = 292,245.49/677.53
  6. Step 6: Final answer
    x = 431.34

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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.