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Finding the Fourth Proportional to 1,269.97, 1,752.57 and 710.44

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Solution

The fourth proportional to 1,269.97, 1,752.57 and 710.44 is: 980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.97 : 1,752.57 = 710.44 : x
  2. Step 2: Convert to fraction form
    1,269.97/1,752.57 = 710.44/x
  3. Step 3: Cross multiply
    1,269.97x = 1,752.57 × 710.44
  4. Step 4: Simplify right side
    1,269.97x = 1,245,091.45
  5. Step 5: Solve for x
    x = 1,245,091.45/1,269.97
  6. Step 6: Final answer
    x = 980.41

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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.