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Finding the Fourth Proportional to 1,025.46, 1,538.46 and 754.79

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Solution

The fourth proportional to 1,025.46, 1,538.46 and 754.79 is: 1,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.46 : 1,538.46 = 754.79 : x
  2. Step 2: Convert to fraction form
    1,025.46/1,538.46 = 754.79/x
  3. Step 3: Cross multiply
    1,025.46x = 1,538.46 × 754.79
  4. Step 4: Simplify right side
    1,025.46x = 1,161,206.53
  5. Step 5: Solve for x
    x = 1,161,206.53/1,025.46
  6. Step 6: Final answer
    x = 1,132.38

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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.