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Finding the Fourth Proportional to 867.07, 1,196.50 and 474.02

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Solution

The fourth proportional to 867.07, 1,196.50 and 474.02 is: 654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.07 : 1,196.50 = 474.02 : x
  2. Step 2: Convert to fraction form
    867.07/1,196.50 = 474.02/x
  3. Step 3: Cross multiply
    867.07x = 1,196.50 × 474.02
  4. Step 4: Simplify right side
    867.07x = 567,164.93
  5. Step 5: Solve for x
    x = 567,164.93/867.07
  6. Step 6: Final answer
    x = 654.12

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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.