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Finding the Fourth Proportional to 1,240.25, 1,711.55 and 688.25

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Solution

The fourth proportional to 1,240.25, 1,711.55 and 688.25 is: 949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.25 : 1,711.55 = 688.25 : x
  2. Step 2: Convert to fraction form
    1,240.25/1,711.55 = 688.25/x
  3. Step 3: Cross multiply
    1,240.25x = 1,711.55 × 688.25
  4. Step 4: Simplify right side
    1,240.25x = 1,177,970.85
  5. Step 5: Solve for x
    x = 1,177,970.85/1,240.25
  6. Step 6: Final answer
    x = 949.79

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Half scale
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Double scale
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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.