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Finding the Fourth Proportional to 774.94, 1,069.56 and 538.81

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Solution

The fourth proportional to 774.94, 1,069.56 and 538.81 is: 743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.94 : 1,069.56 = 538.81 : x
  2. Step 2: Convert to fraction form
    774.94/1,069.56 = 538.81/x
  3. Step 3: Cross multiply
    774.94x = 1,069.56 × 538.81
  4. Step 4: Simplify right side
    774.94x = 576,289.62
  5. Step 5: Solve for x
    x = 576,289.62/774.94
  6. Step 6: Final answer
    x = 743.66

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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.