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Finding the Fourth Proportional to 1,253.37, 1,729.62 and 686.21

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Solution

The fourth proportional to 1,253.37, 1,729.62 and 686.21 is: 946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.37 : 1,729.62 = 686.21 : x
  2. Step 2: Convert to fraction form
    1,253.37/1,729.62 = 686.21/x
  3. Step 3: Cross multiply
    1,253.37x = 1,729.62 × 686.21
  4. Step 4: Simplify right side
    1,253.37x = 1,186,876.47
  5. Step 5: Solve for x
    x = 1,186,876.47/1,253.37
  6. Step 6: Final answer
    x = 946.95

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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.