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Finding the Fourth Proportional to 868.04, 1,197.87 and 475.07

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Solution

The fourth proportional to 868.04, 1,197.87 and 475.07 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.04 : 1,197.87 = 475.07 : x
  2. Step 2: Convert to fraction form
    868.04/1,197.87 = 475.07/x
  3. Step 3: Cross multiply
    868.04x = 1,197.87 × 475.07
  4. Step 4: Simplify right side
    868.04x = 569,066.11
  5. Step 5: Solve for x
    x = 569,066.11/868.04
  6. Step 6: Final answer
    x = 655.58

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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.