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Finding the Fourth Proportional to 1,195.57, 1,649.96 and 698.03

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Solution

The fourth proportional to 1,195.57, 1,649.96 and 698.03 is: 963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.57 : 1,649.96 = 698.03 : x
  2. Step 2: Convert to fraction form
    1,195.57/1,649.96 = 698.03/x
  3. Step 3: Cross multiply
    1,195.57x = 1,649.96 × 698.03
  4. Step 4: Simplify right side
    1,195.57x = 1,151,715.07
  5. Step 5: Solve for x
    x = 1,151,715.07/1,195.57
  6. Step 6: Final answer
    x = 963.32

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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.