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Finding the Fourth Proportional to 1,010.57, 1,394.10 and 716

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Solution

The fourth proportional to 1,010.57, 1,394.10 and 716 is: 987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.57 : 1,394.10 = 716 : x
  2. Step 2: Convert to fraction form
    1,010.57/1,394.10 = 716/x
  3. Step 3: Cross multiply
    1,010.57x = 1,394.10 × 716
  4. Step 4: Simplify right side
    1,010.57x = 998,175.60
  5. Step 5: Solve for x
    x = 998,175.60/1,010.57
  6. Step 6: Final answer
    x = 987.74

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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.