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Finding the Fourth Proportional to 686.80, 1,024.88 and 625.48

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Solution

The fourth proportional to 686.80, 1,024.88 and 625.48 is: 933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 1,024.88 = 625.48 : x
  2. Step 2: Convert to fraction form
    686.80/1,024.88 = 625.48/x
  3. Step 3: Cross multiply
    686.80x = 1,024.88 × 625.48
  4. Step 4: Simplify right side
    686.80x = 641,041.94
  5. Step 5: Solve for x
    x = 641,041.94/686.80
  6. Step 6: Final answer
    x = 933.37

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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.