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Finding the Fourth Proportional to 891.95, 1,230.86 and 519.14

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Solution

The fourth proportional to 891.95, 1,230.86 and 519.14 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.95 : 1,230.86 = 519.14 : x
  2. Step 2: Convert to fraction form
    891.95/1,230.86 = 519.14/x
  3. Step 3: Cross multiply
    891.95x = 1,230.86 × 519.14
  4. Step 4: Simplify right side
    891.95x = 638,993.04
  5. Step 5: Solve for x
    x = 638,993.04/891.95
  6. Step 6: Final answer
    x = 716.40

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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.