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Finding the Fourth Proportional to 1,276.25, 1,761.24 and 709.09

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Solution

The fourth proportional to 1,276.25, 1,761.24 and 709.09 is: 978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.25 : 1,761.24 = 709.09 : x
  2. Step 2: Convert to fraction form
    1,276.25/1,761.24 = 709.09/x
  3. Step 3: Cross multiply
    1,276.25x = 1,761.24 × 709.09
  4. Step 4: Simplify right side
    1,276.25x = 1,248,877.67
  5. Step 5: Solve for x
    x = 1,248,877.67/1,276.25
  6. Step 6: Final answer
    x = 978.55

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1.5x scale

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.