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Finding the Fourth Proportional to 867.02, 1,196.47 and 474.04

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Solution

The fourth proportional to 867.02, 1,196.47 and 474.04 is: 654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.02 : 1,196.47 = 474.04 : x
  2. Step 2: Convert to fraction form
    867.02/1,196.47 = 474.04/x
  3. Step 3: Cross multiply
    867.02x = 1,196.47 × 474.04
  4. Step 4: Simplify right side
    867.02x = 567,174.64
  5. Step 5: Solve for x
    x = 567,174.64/867.02
  6. Step 6: Final answer
    x = 654.17

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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.