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Finding the Fourth Proportional to 774.59, 1,069.02 and 538.47

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Solution

The fourth proportional to 774.59, 1,069.02 and 538.47 is: 743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.59 : 1,069.02 = 538.47 : x
  2. Step 2: Convert to fraction form
    774.59/1,069.02 = 538.47/x
  3. Step 3: Cross multiply
    774.59x = 1,069.02 × 538.47
  4. Step 4: Simplify right side
    774.59x = 575,635.20
  5. Step 5: Solve for x
    x = 575,635.20/774.59
  6. Step 6: Final answer
    x = 743.15

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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.