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Finding the Fourth Proportional to 772.95, 1,159.05 and 362.28

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Solution

The fourth proportional to 772.95, 1,159.05 and 362.28 is: 543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.95 : 1,159.05 = 362.28 : x
  2. Step 2: Convert to fraction form
    772.95/1,159.05 = 362.28/x
  3. Step 3: Cross multiply
    772.95x = 1,159.05 × 362.28
  4. Step 4: Simplify right side
    772.95x = 419,900.63
  5. Step 5: Solve for x
    x = 419,900.63/772.95
  6. Step 6: Final answer
    x = 543.24

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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.