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Finding the Fourth Proportional to 1,257.32, 1,882.04 and 793.50

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Solution

The fourth proportional to 1,257.32, 1,882.04 and 793.50 is: 1,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.32 : 1,882.04 = 793.50 : x
  2. Step 2: Convert to fraction form
    1,257.32/1,882.04 = 793.50/x
  3. Step 3: Cross multiply
    1,257.32x = 1,882.04 × 793.50
  4. Step 4: Simplify right side
    1,257.32x = 1,493,387.71
  5. Step 5: Solve for x
    x = 1,493,387.71/1,257.32
  6. Step 6: Final answer
    x = 1,187.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.