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Finding the Fourth Proportional to 1,240.48, 1,711.56 and 846.88

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Solution

The fourth proportional to 1,240.48, 1,711.56 and 846.88 is: 1,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.48 : 1,711.56 = 846.88 : x
  2. Step 2: Convert to fraction form
    1,240.48/1,711.56 = 846.88/x
  3. Step 3: Cross multiply
    1,240.48x = 1,711.56 × 846.88
  4. Step 4: Simplify right side
    1,240.48x = 1,449,485.93
  5. Step 5: Solve for x
    x = 1,449,485.93/1,240.48
  6. Step 6: Final answer
    x = 1,168.49

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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.