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Finding the Fourth Proportional to 1,016.56, 1,402.14 and 701.95

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Solution

The fourth proportional to 1,016.56, 1,402.14 and 701.95 is: 968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.56 : 1,402.14 = 701.95 : x
  2. Step 2: Convert to fraction form
    1,016.56/1,402.14 = 701.95/x
  3. Step 3: Cross multiply
    1,016.56x = 1,402.14 × 701.95
  4. Step 4: Simplify right side
    1,016.56x = 984,232.17
  5. Step 5: Solve for x
    x = 984,232.17/1,016.56
  6. Step 6: Final answer
    x = 968.20

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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.