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Finding the Fourth Proportional to 865.05, 1,193.83 and 515.69

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Solution

The fourth proportional to 865.05, 1,193.83 and 515.69 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.05 : 1,193.83 = 515.69 : x
  2. Step 2: Convert to fraction form
    865.05/1,193.83 = 515.69/x
  3. Step 3: Cross multiply
    865.05x = 1,193.83 × 515.69
  4. Step 4: Simplify right side
    865.05x = 615,646.19
  5. Step 5: Solve for x
    x = 615,646.19/865.05
  6. Step 6: Final answer
    x = 711.69

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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.