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Finding the Fourth Proportional to 867.85, 1,196.39 and 618.74

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Solution

The fourth proportional to 867.85, 1,196.39 and 618.74 is: 852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.85 : 1,196.39 = 618.74 : x
  2. Step 2: Convert to fraction form
    867.85/1,196.39 = 618.74/x
  3. Step 3: Cross multiply
    867.85x = 1,196.39 × 618.74
  4. Step 4: Simplify right side
    867.85x = 740,250.38
  5. Step 5: Solve for x
    x = 740,250.38/867.85
  6. Step 6: Final answer
    x = 852.97

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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.