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Finding the Fourth Proportional to 1,122.22, 1,548.32 and 649.94

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Solution

The fourth proportional to 1,122.22, 1,548.32 and 649.94 is: 896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.22 : 1,548.32 = 649.94 : x
  2. Step 2: Convert to fraction form
    1,122.22/1,548.32 = 649.94/x
  3. Step 3: Cross multiply
    1,122.22x = 1,548.32 × 649.94
  4. Step 4: Simplify right side
    1,122.22x = 1,006,315.10
  5. Step 5: Solve for x
    x = 1,006,315.10/1,122.22
  6. Step 6: Final answer
    x = 896.72

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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.