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Finding the Fourth Proportional to 1,745.39, 2,617.57 and 512.57

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Solution

The fourth proportional to 1,745.39, 2,617.57 and 512.57 is: 768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.39 : 2,617.57 = 512.57 : x
  2. Step 2: Convert to fraction form
    1,745.39/2,617.57 = 512.57/x
  3. Step 3: Cross multiply
    1,745.39x = 2,617.57 × 512.57
  4. Step 4: Simplify right side
    1,745.39x = 1,341,672.20
  5. Step 5: Solve for x
    x = 1,341,672.20/1,745.39
  6. Step 6: Final answer
    x = 768.70

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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.