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Finding the Fourth Proportional to 1,093.74, 1,509.78 and 744.66

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Solution

The fourth proportional to 1,093.74, 1,509.78 and 744.66 is: 1,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.74 : 1,509.78 = 744.66 : x
  2. Step 2: Convert to fraction form
    1,093.74/1,509.78 = 744.66/x
  3. Step 3: Cross multiply
    1,093.74x = 1,509.78 × 744.66
  4. Step 4: Simplify right side
    1,093.74x = 1,124,272.77
  5. Step 5: Solve for x
    x = 1,124,272.77/1,093.74
  6. Step 6: Final answer
    x = 1,027.92

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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.