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Finding the Fourth Proportional to 918.06, 1,371.32 and 772.26

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Solution

The fourth proportional to 918.06, 1,371.32 and 772.26 is: 1,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.06 : 1,371.32 = 772.26 : x
  2. Step 2: Convert to fraction form
    918.06/1,371.32 = 772.26/x
  3. Step 3: Cross multiply
    918.06x = 1,371.32 × 772.26
  4. Step 4: Simplify right side
    918.06x = 1,059,011.72
  5. Step 5: Solve for x
    x = 1,059,011.72/918.06
  6. Step 6: Final answer
    x = 1,153.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.