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Finding the Fourth Proportional to 1,247.52, 1,721.04 and 781.68

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Solution

The fourth proportional to 1,247.52, 1,721.04 and 781.68 is: 1,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.52 : 1,721.04 = 781.68 : x
  2. Step 2: Convert to fraction form
    1,247.52/1,721.04 = 781.68/x
  3. Step 3: Cross multiply
    1,247.52x = 1,721.04 × 781.68
  4. Step 4: Simplify right side
    1,247.52x = 1,345,302.55
  5. Step 5: Solve for x
    x = 1,345,302.55/1,247.52
  6. Step 6: Final answer
    x = 1,078.38

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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.