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Finding the Fourth Proportional to 1,053.66, 1,578.57 and 618.78

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Solution

The fourth proportional to 1,053.66, 1,578.57 and 618.78 is: 927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.66 : 1,578.57 = 618.78 : x
  2. Step 2: Convert to fraction form
    1,053.66/1,578.57 = 618.78/x
  3. Step 3: Cross multiply
    1,053.66x = 1,578.57 × 618.78
  4. Step 4: Simplify right side
    1,053.66x = 976,787.54
  5. Step 5: Solve for x
    x = 976,787.54/1,053.66
  6. Step 6: Final answer
    x = 927.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.