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Finding the Fourth Proportional to 687.64, 948.93 and 392.86

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Solution

The fourth proportional to 687.64, 948.93 and 392.86 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.64 : 948.93 = 392.86 : x
  2. Step 2: Convert to fraction form
    687.64/948.93 = 392.86/x
  3. Step 3: Cross multiply
    687.64x = 948.93 × 392.86
  4. Step 4: Simplify right side
    687.64x = 372,796.64
  5. Step 5: Solve for x
    x = 372,796.64/687.64
  6. Step 6: Final answer
    x = 542.14

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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.