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Finding the Fourth Proportional to 868.96, 1,199.14 and 514.86

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Solution

The fourth proportional to 868.96, 1,199.14 and 514.86 is: 710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.96 : 1,199.14 = 514.86 : x
  2. Step 2: Convert to fraction form
    868.96/1,199.14 = 514.86/x
  3. Step 3: Cross multiply
    868.96x = 1,199.14 × 514.86
  4. Step 4: Simplify right side
    868.96x = 617,389.22
  5. Step 5: Solve for x
    x = 617,389.22/868.96
  6. Step 6: Final answer
    x = 710.49

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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.