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Finding the Fourth Proportional to 805.26, 1,206.54 and 717.78

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Solution

The fourth proportional to 805.26, 1,206.54 and 717.78 is: 1,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.26 : 1,206.54 = 717.78 : x
  2. Step 2: Convert to fraction form
    805.26/1,206.54 = 717.78/x
  3. Step 3: Cross multiply
    805.26x = 1,206.54 × 717.78
  4. Step 4: Simplify right side
    805.26x = 866,030.28
  5. Step 5: Solve for x
    x = 866,030.28/805.26
  6. Step 6: Final answer
    x = 1,075.47

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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.