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Finding the Fourth Proportional to 774.93, 1,069.33 and 443.35

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Solution

The fourth proportional to 774.93, 1,069.33 and 443.35 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,069.33 = 443.35 : x
  2. Step 2: Convert to fraction form
    774.93/1,069.33 = 443.35/x
  3. Step 3: Cross multiply
    774.93x = 1,069.33 × 443.35
  4. Step 4: Simplify right side
    774.93x = 474,082.11
  5. Step 5: Solve for x
    x = 474,082.11/774.93
  6. Step 6: Final answer
    x = 611.77

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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.