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Finding the Fourth Proportional to 774.37, 1,162.07 and 287.47

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Solution

The fourth proportional to 774.37, 1,162.07 and 287.47 is: 431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.37 : 1,162.07 = 287.47 : x
  2. Step 2: Convert to fraction form
    774.37/1,162.07 = 287.47/x
  3. Step 3: Cross multiply
    774.37x = 1,162.07 × 287.47
  4. Step 4: Simplify right side
    774.37x = 334,057.00
  5. Step 5: Solve for x
    x = 334,057.00/774.37
  6. Step 6: Final answer
    x = 431.39

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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.