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Finding the Fourth Proportional to 866.39, 1,195.61 and 473.40

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Solution

The fourth proportional to 866.39, 1,195.61 and 473.40 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.39 : 1,195.61 = 473.40 : x
  2. Step 2: Convert to fraction form
    866.39/1,195.61 = 473.40/x
  3. Step 3: Cross multiply
    866.39x = 1,195.61 × 473.40
  4. Step 4: Simplify right side
    866.39x = 565,999.41
  5. Step 5: Solve for x
    x = 565,999.41/866.39
  6. Step 6: Final answer
    x = 653.29

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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.