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Finding the Fourth Proportional to 1,524.88, 2,287.40 and 755.12

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Solution

The fourth proportional to 1,524.88, 2,287.40 and 755.12 is: 1,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.88 : 2,287.40 = 755.12 : x
  2. Step 2: Convert to fraction form
    1,524.88/2,287.40 = 755.12/x
  3. Step 3: Cross multiply
    1,524.88x = 2,287.40 × 755.12
  4. Step 4: Simplify right side
    1,524.88x = 1,727,261.49
  5. Step 5: Solve for x
    x = 1,727,261.49/1,524.88
  6. Step 6: Final answer
    x = 1,132.72

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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.