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Finding the Fourth Proportional to 718.49, 1,077.73 and 409.69

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Solution

The fourth proportional to 718.49, 1,077.73 and 409.69 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.49 : 1,077.73 = 409.69 : x
  2. Step 2: Convert to fraction form
    718.49/1,077.73 = 409.69/x
  3. Step 3: Cross multiply
    718.49x = 1,077.73 × 409.69
  4. Step 4: Simplify right side
    718.49x = 441,531.49
  5. Step 5: Solve for x
    x = 441,531.49/718.49
  6. Step 6: Final answer
    x = 614.52

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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.