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Finding the Fourth Proportional to 717.23, 1,075.86 and 255.05

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Solution

The fourth proportional to 717.23, 1,075.86 and 255.05 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.23 : 1,075.86 = 255.05 : x
  2. Step 2: Convert to fraction form
    717.23/1,075.86 = 255.05/x
  3. Step 3: Cross multiply
    717.23x = 1,075.86 × 255.05
  4. Step 4: Simplify right side
    717.23x = 274,392.71
  5. Step 5: Solve for x
    x = 274,392.71/717.23
  6. Step 6: Final answer
    x = 382.58

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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.