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Finding the Fourth Proportional to 1,241.97, 1,713.62 and 703.62

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Solution

The fourth proportional to 1,241.97, 1,713.62 and 703.62 is: 970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.97 : 1,713.62 = 703.62 : x
  2. Step 2: Convert to fraction form
    1,241.97/1,713.62 = 703.62/x
  3. Step 3: Cross multiply
    1,241.97x = 1,713.62 × 703.62
  4. Step 4: Simplify right side
    1,241.97x = 1,205,739.06
  5. Step 5: Solve for x
    x = 1,205,739.06/1,241.97
  6. Step 6: Final answer
    x = 970.82

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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.