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Finding the Fourth Proportional to 1,016.42, 1,403.14 and 686.56

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Solution

The fourth proportional to 1,016.42, 1,403.14 and 686.56 is: 947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.42 : 1,403.14 = 686.56 : x
  2. Step 2: Convert to fraction form
    1,016.42/1,403.14 = 686.56/x
  3. Step 3: Cross multiply
    1,016.42x = 1,403.14 × 686.56
  4. Step 4: Simplify right side
    1,016.42x = 963,339.80
  5. Step 5: Solve for x
    x = 963,339.80/1,016.42
  6. Step 6: Final answer
    x = 947.78

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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.