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Finding the Fourth Proportional to 717.63, 1,075.96 and 409.65

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Solution

The fourth proportional to 717.63, 1,075.96 and 409.65 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.63 : 1,075.96 = 409.65 : x
  2. Step 2: Convert to fraction form
    717.63/1,075.96 = 409.65/x
  3. Step 3: Cross multiply
    717.63x = 1,075.96 × 409.65
  4. Step 4: Simplify right side
    717.63x = 440,767.01
  5. Step 5: Solve for x
    x = 440,767.01/717.63
  6. Step 6: Final answer
    x = 614.20

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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.