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Finding the Fourth Proportional to 867.39, 1,196.98 and 474.40

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Solution

The fourth proportional to 867.39, 1,196.98 and 474.40 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.39 : 1,196.98 = 474.40 : x
  2. Step 2: Convert to fraction form
    867.39/1,196.98 = 474.40/x
  3. Step 3: Cross multiply
    867.39x = 1,196.98 × 474.40
  4. Step 4: Simplify right side
    867.39x = 567,847.31
  5. Step 5: Solve for x
    x = 567,847.31/867.39
  6. Step 6: Final answer
    x = 654.66

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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.