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Finding the Fourth Proportional to 867.08, 1,196.58 and 474.11

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Solution

The fourth proportional to 867.08, 1,196.58 and 474.11 is: 654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.08 : 1,196.58 = 474.11 : x
  2. Step 2: Convert to fraction form
    867.08/1,196.58 = 474.11/x
  3. Step 3: Cross multiply
    867.08x = 1,196.58 × 474.11
  4. Step 4: Simplify right side
    867.08x = 567,308.17
  5. Step 5: Solve for x
    x = 567,308.17/867.08
  6. Step 6: Final answer
    x = 654.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.