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Finding the Fourth Proportional to 1,540.79, 2,308.84 and 718.84

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Solution

The fourth proportional to 1,540.79, 2,308.84 and 718.84 is: 1,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.79 : 2,308.84 = 718.84 : x
  2. Step 2: Convert to fraction form
    1,540.79/2,308.84 = 718.84/x
  3. Step 3: Cross multiply
    1,540.79x = 2,308.84 × 718.84
  4. Step 4: Simplify right side
    1,540.79x = 1,659,687.63
  5. Step 5: Solve for x
    x = 1,659,687.63/1,540.79
  6. Step 6: Final answer
    x = 1,077.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.