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Finding the Fourth Proportional to 868.05, 1,197.90 and 469.70

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Solution

The fourth proportional to 868.05, 1,197.90 and 469.70 is: 648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.05 : 1,197.90 = 469.70 : x
  2. Step 2: Convert to fraction form
    868.05/1,197.90 = 469.70/x
  3. Step 3: Cross multiply
    868.05x = 1,197.90 × 469.70
  4. Step 4: Simplify right side
    868.05x = 562,655.34
  5. Step 5: Solve for x
    x = 562,655.34/868.05
  6. Step 6: Final answer
    x = 648.18

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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.