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Finding the Fourth Proportional to 677, 1,014.69 and 286.88

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Solution

The fourth proportional to 677, 1,014.69 and 286.88 is: 429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677 : 1,014.69 = 286.88 : x
  2. Step 2: Convert to fraction form
    677/1,014.69 = 286.88/x
  3. Step 3: Cross multiply
    677x = 1,014.69 × 286.88
  4. Step 4: Simplify right side
    677x = 291,094.27
  5. Step 5: Solve for x
    x = 291,094.27/677
  6. Step 6: Final answer
    x = 429.98

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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.