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Finding the Fourth Proportional to 1,232.40, 1,698.60 and 937.20

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Solution

The fourth proportional to 1,232.40, 1,698.60 and 937.20 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.40 : 1,698.60 = 937.20 : x
  2. Step 2: Convert to fraction form
    1,232.40/1,698.60 = 937.20/x
  3. Step 3: Cross multiply
    1,232.40x = 1,698.60 × 937.20
  4. Step 4: Simplify right side
    1,232.40x = 1,591,927.92
  5. Step 5: Solve for x
    x = 1,591,927.92/1,232.40
  6. Step 6: Final answer
    x = 1,291.73

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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.