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Finding the Fourth Proportional to 1,350.19, 1,863.25 and 760.71

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Solution

The fourth proportional to 1,350.19, 1,863.25 and 760.71 is: 1,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.19 : 1,863.25 = 760.71 : x
  2. Step 2: Convert to fraction form
    1,350.19/1,863.25 = 760.71/x
  3. Step 3: Cross multiply
    1,350.19x = 1,863.25 × 760.71
  4. Step 4: Simplify right side
    1,350.19x = 1,417,392.91
  5. Step 5: Solve for x
    x = 1,417,392.91/1,350.19
  6. Step 6: Final answer
    x = 1,049.77

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Half scale
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Double 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.