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Finding the Fourth Proportional to 1,195.53, 1,649.43 and 747.10

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Solution

The fourth proportional to 1,195.53, 1,649.43 and 747.10 is: 1,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.53 : 1,649.43 = 747.10 : x
  2. Step 2: Convert to fraction form
    1,195.53/1,649.43 = 747.10/x
  3. Step 3: Cross multiply
    1,195.53x = 1,649.43 × 747.10
  4. Step 4: Simplify right side
    1,195.53x = 1,232,286.58
  5. Step 5: Solve for x
    x = 1,232,286.58/1,195.53
  6. Step 6: Final answer
    x = 1,030.74

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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.