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Finding the Fourth Proportional to 918.41, 1,266.77 and 568.49

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Solution

The fourth proportional to 918.41, 1,266.77 and 568.49 is: 784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.41 : 1,266.77 = 568.49 : x
  2. Step 2: Convert to fraction form
    918.41/1,266.77 = 568.49/x
  3. Step 3: Cross multiply
    918.41x = 1,266.77 × 568.49
  4. Step 4: Simplify right side
    918.41x = 720,141.16
  5. Step 5: Solve for x
    x = 720,141.16/918.41
  6. Step 6: Final answer
    x = 784.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.