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Finding the Fourth Proportional to 1,016.31, 1,402.68 and 970.14

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Solution

The fourth proportional to 1,016.31, 1,402.68 and 970.14 is: 1,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.31 : 1,402.68 = 970.14 : x
  2. Step 2: Convert to fraction form
    1,016.31/1,402.68 = 970.14/x
  3. Step 3: Cross multiply
    1,016.31x = 1,402.68 × 970.14
  4. Step 4: Simplify right side
    1,016.31x = 1,360,795.98
  5. Step 5: Solve for x
    x = 1,360,795.98/1,016.31
  6. Step 6: Final answer
    x = 1,338.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.