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Finding the Fourth Proportional to 990.29, 1,366.31 and 710.48

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Solution

The fourth proportional to 990.29, 1,366.31 and 710.48 is: 980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.29 : 1,366.31 = 710.48 : x
  2. Step 2: Convert to fraction form
    990.29/1,366.31 = 710.48/x
  3. Step 3: Cross multiply
    990.29x = 1,366.31 × 710.48
  4. Step 4: Simplify right side
    990.29x = 970,725.54
  5. Step 5: Solve for x
    x = 970,725.54/990.29
  6. Step 6: Final answer
    x = 980.25

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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.