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Finding the Fourth Proportional to 686.08, 1,025.11 and 602.76

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Solution

The fourth proportional to 686.08, 1,025.11 and 602.76 is: 900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.08 : 1,025.11 = 602.76 : x
  2. Step 2: Convert to fraction form
    686.08/1,025.11 = 602.76/x
  3. Step 3: Cross multiply
    686.08x = 1,025.11 × 602.76
  4. Step 4: Simplify right side
    686.08x = 617,895.30
  5. Step 5: Solve for x
    x = 617,895.30/686.08
  6. Step 6: Final answer
    x = 900.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.