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Finding the Fourth Proportional to 1,238.25, 1,708.49 and 714.29

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Solution

The fourth proportional to 1,238.25, 1,708.49 and 714.29 is: 985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.25 : 1,708.49 = 714.29 : x
  2. Step 2: Convert to fraction form
    1,238.25/1,708.49 = 714.29/x
  3. Step 3: Cross multiply
    1,238.25x = 1,708.49 × 714.29
  4. Step 4: Simplify right side
    1,238.25x = 1,220,350.57
  5. Step 5: Solve for x
    x = 1,220,350.57/1,238.25
  6. Step 6: Final answer
    x = 985.54

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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.