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Finding the Fourth Proportional to 764.41, 1,053.78 and 564.95

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Solution

The fourth proportional to 764.41, 1,053.78 and 564.95 is: 778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.41 : 1,053.78 = 564.95 : x
  2. Step 2: Convert to fraction form
    764.41/1,053.78 = 564.95/x
  3. Step 3: Cross multiply
    764.41x = 1,053.78 × 564.95
  4. Step 4: Simplify right side
    764.41x = 595,333.01
  5. Step 5: Solve for x
    x = 595,333.01/764.41
  6. Step 6: Final answer
    x = 778.81

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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.