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Finding the Fourth Proportional to 774.03, 1,159.51 and 464.97

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Solution

The fourth proportional to 774.03, 1,159.51 and 464.97 is: 696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.03 : 1,159.51 = 464.97 : x
  2. Step 2: Convert to fraction form
    774.03/1,159.51 = 464.97/x
  3. Step 3: Cross multiply
    774.03x = 1,159.51 × 464.97
  4. Step 4: Simplify right side
    774.03x = 539,137.36
  5. Step 5: Solve for x
    x = 539,137.36/774.03
  6. Step 6: Final answer
    x = 696.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.