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Finding the Fourth Proportional to 1,240.80, 1,712.50 and 716.86

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Solution

The fourth proportional to 1,240.80, 1,712.50 and 716.86 is: 989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.80 : 1,712.50 = 716.86 : x
  2. Step 2: Convert to fraction form
    1,240.80/1,712.50 = 716.86/x
  3. Step 3: Cross multiply
    1,240.80x = 1,712.50 × 716.86
  4. Step 4: Simplify right side
    1,240.80x = 1,227,622.75
  5. Step 5: Solve for x
    x = 1,227,622.75/1,240.80
  6. Step 6: Final answer
    x = 989.38

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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.