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Finding the Fourth Proportional to 778.93, 1,164.95 and 692.87

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Solution

The fourth proportional to 778.93, 1,164.95 and 692.87 is: 1,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.93 : 1,164.95 = 692.87 : x
  2. Step 2: Convert to fraction form
    778.93/1,164.95 = 692.87/x
  3. Step 3: Cross multiply
    778.93x = 1,164.95 × 692.87
  4. Step 4: Simplify right side
    778.93x = 807,149.62
  5. Step 5: Solve for x
    x = 807,149.62/778.93
  6. Step 6: Final answer
    x = 1,036.24

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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.