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Finding the Fourth Proportional to 867.98, 1,197.80 and 514.14

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Solution

The fourth proportional to 867.98, 1,197.80 and 514.14 is: 709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.98 : 1,197.80 = 514.14 : x
  2. Step 2: Convert to fraction form
    867.98/1,197.80 = 514.14/x
  3. Step 3: Cross multiply
    867.98x = 1,197.80 × 514.14
  4. Step 4: Simplify right side
    867.98x = 615,836.89
  5. Step 5: Solve for x
    x = 615,836.89/867.98
  6. Step 6: Final answer
    x = 709.51

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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.