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Finding the Fourth Proportional to 1,252.18, 1,728.08 and 721.23

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Solution

The fourth proportional to 1,252.18, 1,728.08 and 721.23 is: 995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.18 : 1,728.08 = 721.23 : x
  2. Step 2: Convert to fraction form
    1,252.18/1,728.08 = 721.23/x
  3. Step 3: Cross multiply
    1,252.18x = 1,728.08 × 721.23
  4. Step 4: Simplify right side
    1,252.18x = 1,246,343.14
  5. Step 5: Solve for x
    x = 1,246,343.14/1,252.18
  6. Step 6: Final answer
    x = 995.34

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Half scale
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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.