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Finding the Fourth Proportional to 774.22, 1,160.59 and 287.16

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Solution

The fourth proportional to 774.22, 1,160.59 and 287.16 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.22 : 1,160.59 = 287.16 : x
  2. Step 2: Convert to fraction form
    774.22/1,160.59 = 287.16/x
  3. Step 3: Cross multiply
    774.22x = 1,160.59 × 287.16
  4. Step 4: Simplify right side
    774.22x = 333,275.02
  5. Step 5: Solve for x
    x = 333,275.02/774.22
  6. Step 6: Final answer
    x = 430.47

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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.