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Finding the Fourth Proportional to 717.56, 1,075.80 and 512.54

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Solution

The fourth proportional to 717.56, 1,075.80 and 512.54 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.56 : 1,075.80 = 512.54 : x
  2. Step 2: Convert to fraction form
    717.56/1,075.80 = 512.54/x
  3. Step 3: Cross multiply
    717.56x = 1,075.80 × 512.54
  4. Step 4: Simplify right side
    717.56x = 551,390.53
  5. Step 5: Solve for x
    x = 551,390.53/717.56
  6. Step 6: Final answer
    x = 768.42

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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.