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Finding the Fourth Proportional to 1,195.78, 1,649.07 and 747.07

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Solution

The fourth proportional to 1,195.78, 1,649.07 and 747.07 is: 1,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.78 : 1,649.07 = 747.07 : x
  2. Step 2: Convert to fraction form
    1,195.78/1,649.07 = 747.07/x
  3. Step 3: Cross multiply
    1,195.78x = 1,649.07 × 747.07
  4. Step 4: Simplify right side
    1,195.78x = 1,231,970.72
  5. Step 5: Solve for x
    x = 1,231,970.72/1,195.78
  6. Step 6: Final answer
    x = 1,030.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.