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Finding the Fourth Proportional to 717.51, 1,075.20 and 409.46

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Solution

The fourth proportional to 717.51, 1,075.20 and 409.46 is: 613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.51 : 1,075.20 = 409.46 : x
  2. Step 2: Convert to fraction form
    717.51/1,075.20 = 409.46/x
  3. Step 3: Cross multiply
    717.51x = 1,075.20 × 409.46
  4. Step 4: Simplify right side
    717.51x = 440,246.02
  5. Step 5: Solve for x
    x = 440,246.02/717.51
  6. Step 6: Final answer
    x = 613.57

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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.