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Finding the Fourth Proportional to 778.30, 1,075.32 and 770.62

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Solution

The fourth proportional to 778.30, 1,075.32 and 770.62 is: 1,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.30 : 1,075.32 = 770.62 : x
  2. Step 2: Convert to fraction form
    778.30/1,075.32 = 770.62/x
  3. Step 3: Cross multiply
    778.30x = 1,075.32 × 770.62
  4. Step 4: Simplify right side
    778.30x = 828,663.10
  5. Step 5: Solve for x
    x = 828,663.10/778.30
  6. Step 6: Final answer
    x = 1,064.71

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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.