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Finding the Fourth Proportional to 1,270.58, 1,753.22 and 710.90

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Solution

The fourth proportional to 1,270.58, 1,753.22 and 710.90 is: 980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.58 : 1,753.22 = 710.90 : x
  2. Step 2: Convert to fraction form
    1,270.58/1,753.22 = 710.90/x
  3. Step 3: Cross multiply
    1,270.58x = 1,753.22 × 710.90
  4. Step 4: Simplify right side
    1,270.58x = 1,246,364.10
  5. Step 5: Solve for x
    x = 1,246,364.10/1,270.58
  6. Step 6: Final answer
    x = 980.94

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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.