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Finding the Fourth Proportional to 677.88, 1,017.16 and 287.98

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Solution

The fourth proportional to 677.88, 1,017.16 and 287.98 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 1,017.16 = 287.98 : x
  2. Step 2: Convert to fraction form
    677.88/1,017.16 = 287.98/x
  3. Step 3: Cross multiply
    677.88x = 1,017.16 × 287.98
  4. Step 4: Simplify right side
    677.88x = 292,915.21
  5. Step 5: Solve for x
    x = 292,915.21/677.88
  6. Step 6: Final answer
    x = 432.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.