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Finding the Fourth Proportional to 717.83, 1,075.02 and 408.75

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Solution

The fourth proportional to 717.83, 1,075.02 and 408.75 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.83 : 1,075.02 = 408.75 : x
  2. Step 2: Convert to fraction form
    717.83/1,075.02 = 408.75/x
  3. Step 3: Cross multiply
    717.83x = 1,075.02 × 408.75
  4. Step 4: Simplify right side
    717.83x = 439,414.43
  5. Step 5: Solve for x
    x = 439,414.43/717.83
  6. Step 6: Final answer
    x = 612.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.