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Finding the Fourth Proportional to 1,276.46, 1,761.61 and 716.90

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Solution

The fourth proportional to 1,276.46, 1,761.61 and 716.90 is: 989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.46 : 1,761.61 = 716.90 : x
  2. Step 2: Convert to fraction form
    1,276.46/1,761.61 = 716.90/x
  3. Step 3: Cross multiply
    1,276.46x = 1,761.61 × 716.90
  4. Step 4: Simplify right side
    1,276.46x = 1,262,887.61
  5. Step 5: Solve for x
    x = 1,262,887.61/1,276.46
  6. Step 6: Final answer
    x = 989.37

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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.