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Finding the Fourth Proportional to 1,121.73, 1,547.87 and 649.43

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Solution

The fourth proportional to 1,121.73, 1,547.87 and 649.43 is: 896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.73 : 1,547.87 = 649.43 : x
  2. Step 2: Convert to fraction form
    1,121.73/1,547.87 = 649.43/x
  3. Step 3: Cross multiply
    1,121.73x = 1,547.87 × 649.43
  4. Step 4: Simplify right side
    1,121.73x = 1,005,233.21
  5. Step 5: Solve for x
    x = 1,005,233.21/1,121.73
  6. Step 6: Final answer
    x = 896.15

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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.