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Finding the Fourth Proportional to 687.95, 949.35 and 425.96

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Solution

The fourth proportional to 687.95, 949.35 and 425.96 is: 587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.95 : 949.35 = 425.96 : x
  2. Step 2: Convert to fraction form
    687.95/949.35 = 425.96/x
  3. Step 3: Cross multiply
    687.95x = 949.35 × 425.96
  4. Step 4: Simplify right side
    687.95x = 404,385.13
  5. Step 5: Solve for x
    x = 404,385.13/687.95
  6. Step 6: Final answer
    x = 587.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.