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Finding the Fourth Proportional to 774.65, 1,069.50 and 538.52

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Solution

The fourth proportional to 774.65, 1,069.50 and 538.52 is: 743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.65 : 1,069.50 = 538.52 : x
  2. Step 2: Convert to fraction form
    774.65/1,069.50 = 538.52/x
  3. Step 3: Cross multiply
    774.65x = 1,069.50 × 538.52
  4. Step 4: Simplify right side
    774.65x = 575,947.14
  5. Step 5: Solve for x
    x = 575,947.14/774.65
  6. Step 6: Final answer
    x = 743.49

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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.