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Finding the Fourth Proportional to 1,246.69, 1,720.40 and 742.57

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Solution

The fourth proportional to 1,246.69, 1,720.40 and 742.57 is: 1,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.69 : 1,720.40 = 742.57 : x
  2. Step 2: Convert to fraction form
    1,246.69/1,720.40 = 742.57/x
  3. Step 3: Cross multiply
    1,246.69x = 1,720.40 × 742.57
  4. Step 4: Simplify right side
    1,246.69x = 1,277,517.43
  5. Step 5: Solve for x
    x = 1,277,517.43/1,246.69
  6. Step 6: Final answer
    x = 1,024.73

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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.