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Finding the Fourth Proportional to 778.14, 1,075.68 and 732.24

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Solution

The fourth proportional to 778.14, 1,075.68 and 732.24 is: 1,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,075.68 = 732.24 : x
  2. Step 2: Convert to fraction form
    778.14/1,075.68 = 732.24/x
  3. Step 3: Cross multiply
    778.14x = 1,075.68 × 732.24
  4. Step 4: Simplify right side
    778.14x = 787,655.92
  5. Step 5: Solve for x
    x = 787,655.92/778.14
  6. Step 6: Final answer
    x = 1,012.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.