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Finding the Fourth Proportional to 772.33, 1,158.15 and 555

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Solution

The fourth proportional to 772.33, 1,158.15 and 555 is: 832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.33 : 1,158.15 = 555 : x
  2. Step 2: Convert to fraction form
    772.33/1,158.15 = 555/x
  3. Step 3: Cross multiply
    772.33x = 1,158.15 × 555
  4. Step 4: Simplify right side
    772.33x = 642,775.33
  5. Step 5: Solve for x
    x = 642,775.33/772.33
  6. Step 6: Final answer
    x = 832.25

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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.