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Finding the Fourth Proportional to 1,270.31, 1,753.06 and 710.78

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Solution

The fourth proportional to 1,270.31, 1,753.06 and 710.78 is: 980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.31 : 1,753.06 = 710.78 : x
  2. Step 2: Convert to fraction form
    1,270.31/1,753.06 = 710.78/x
  3. Step 3: Cross multiply
    1,270.31x = 1,753.06 × 710.78
  4. Step 4: Simplify right side
    1,270.31x = 1,246,039.99
  5. Step 5: Solve for x
    x = 1,246,039.99/1,270.31
  6. Step 6: Final answer
    x = 980.89

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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.