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Finding the Fourth Proportional to 686.94, 948.42 and 425.34

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Solution

The fourth proportional to 686.94, 948.42 and 425.34 is: 587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.94 : 948.42 = 425.34 : x
  2. Step 2: Convert to fraction form
    686.94/948.42 = 425.34/x
  3. Step 3: Cross multiply
    686.94x = 948.42 × 425.34
  4. Step 4: Simplify right side
    686.94x = 403,400.96
  5. Step 5: Solve for x
    x = 403,400.96/686.94
  6. Step 6: Final answer
    x = 587.24

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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.