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Finding the Fourth Proportional to 774.97, 1,068.19 and 564.98

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Solution

The fourth proportional to 774.97, 1,068.19 and 564.98 is: 778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.97 : 1,068.19 = 564.98 : x
  2. Step 2: Convert to fraction form
    774.97/1,068.19 = 564.98/x
  3. Step 3: Cross multiply
    774.97x = 1,068.19 × 564.98
  4. Step 4: Simplify right side
    774.97x = 603,499.23
  5. Step 5: Solve for x
    x = 603,499.23/774.97
  6. Step 6: Final answer
    x = 778.74

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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.