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Finding the Fourth Proportional to 778.06, 1,075.12 and 556.62

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Solution

The fourth proportional to 778.06, 1,075.12 and 556.62 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,075.12 = 556.62 : x
  2. Step 2: Convert to fraction form
    778.06/1,075.12 = 556.62/x
  3. Step 3: Cross multiply
    778.06x = 1,075.12 × 556.62
  4. Step 4: Simplify right side
    778.06x = 598,433.29
  5. Step 5: Solve for x
    x = 598,433.29/778.06
  6. Step 6: Final answer
    x = 769.14

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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.