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Finding the Fourth Proportional to 1,121.94, 1,548.47 and 649.76

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Solution

The fourth proportional to 1,121.94, 1,548.47 and 649.76 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.94 : 1,548.47 = 649.76 : x
  2. Step 2: Convert to fraction form
    1,121.94/1,548.47 = 649.76/x
  3. Step 3: Cross multiply
    1,121.94x = 1,548.47 × 649.76
  4. Step 4: Simplify right side
    1,121.94x = 1,006,139.36
  5. Step 5: Solve for x
    x = 1,006,139.36/1,121.94
  6. Step 6: Final answer
    x = 896.78

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Why These Related Problems?

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