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Finding the Fourth Proportional to 718.28, 1,075.89 and 409.97

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Solution

The fourth proportional to 718.28, 1,075.89 and 409.97 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.28 : 1,075.89 = 409.97 : x
  2. Step 2: Convert to fraction form
    718.28/1,075.89 = 409.97/x
  3. Step 3: Cross multiply
    718.28x = 1,075.89 × 409.97
  4. Step 4: Simplify right side
    718.28x = 441,077.24
  5. Step 5: Solve for x
    x = 441,077.24/718.28
  6. Step 6: Final answer
    x = 614.08

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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.