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Finding the Fourth Proportional to 1,118.83, 1,544.07 and 621.47

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Solution

The fourth proportional to 1,118.83, 1,544.07 and 621.47 is: 857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.83 : 1,544.07 = 621.47 : x
  2. Step 2: Convert to fraction form
    1,118.83/1,544.07 = 621.47/x
  3. Step 3: Cross multiply
    1,118.83x = 1,544.07 × 621.47
  4. Step 4: Simplify right side
    1,118.83x = 959,593.18
  5. Step 5: Solve for x
    x = 959,593.18/1,118.83
  6. Step 6: Final answer
    x = 857.68

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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.