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Finding the Fourth Proportional to 718.97, 1,080.23 and 459.09

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Solution

The fourth proportional to 718.97, 1,080.23 and 459.09 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.97 : 1,080.23 = 459.09 : x
  2. Step 2: Convert to fraction form
    718.97/1,080.23 = 459.09/x
  3. Step 3: Cross multiply
    718.97x = 1,080.23 × 459.09
  4. Step 4: Simplify right side
    718.97x = 495,920.50
  5. Step 5: Solve for x
    x = 495,920.50/718.97
  6. Step 6: Final answer
    x = 689.77

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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.