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Finding the Fourth Proportional to 717.14, 1,075.86 and 204.14

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Solution

The fourth proportional to 717.14, 1,075.86 and 204.14 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 1,075.86 = 204.14 : x
  2. Step 2: Convert to fraction form
    717.14/1,075.86 = 204.14/x
  3. Step 3: Cross multiply
    717.14x = 1,075.86 × 204.14
  4. Step 4: Simplify right side
    717.14x = 219,626.06
  5. Step 5: Solve for x
    x = 219,626.06/717.14
  6. Step 6: Final answer
    x = 306.25

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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.