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Finding the Fourth Proportional to 1,188.78, 1,639.90 and 746.97

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Solution

The fourth proportional to 1,188.78, 1,639.90 and 746.97 is: 1,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.78 : 1,639.90 = 746.97 : x
  2. Step 2: Convert to fraction form
    1,188.78/1,639.90 = 746.97/x
  3. Step 3: Cross multiply
    1,188.78x = 1,639.90 × 746.97
  4. Step 4: Simplify right side
    1,188.78x = 1,224,955.91
  5. Step 5: Solve for x
    x = 1,224,955.91/1,188.78
  6. Step 6: Final answer
    x = 1,030.43

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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.