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Finding the Fourth Proportional to 686.92, 948.40 and 509.92

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Solution

The fourth proportional to 686.92, 948.40 and 509.92 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.92 : 948.40 = 509.92 : x
  2. Step 2: Convert to fraction form
    686.92/948.40 = 509.92/x
  3. Step 3: Cross multiply
    686.92x = 948.40 × 509.92
  4. Step 4: Simplify right side
    686.92x = 483,608.13
  5. Step 5: Solve for x
    x = 483,608.13/686.92
  6. Step 6: Final answer
    x = 704.02

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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.