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Finding the Fourth Proportional to 717.27, 1,075.02 and 511.41

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Solution

The fourth proportional to 717.27, 1,075.02 and 511.41 is: 766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.27 : 1,075.02 = 511.41 : x
  2. Step 2: Convert to fraction form
    717.27/1,075.02 = 511.41/x
  3. Step 3: Cross multiply
    717.27x = 1,075.02 × 511.41
  4. Step 4: Simplify right side
    717.27x = 549,775.98
  5. Step 5: Solve for x
    x = 549,775.98/717.27
  6. Step 6: Final answer
    x = 766.48

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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.