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Finding the Fourth Proportional to 1,195.41, 1,649.55 and 698.01

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Solution

The fourth proportional to 1,195.41, 1,649.55 and 698.01 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.41 : 1,649.55 = 698.01 : x
  2. Step 2: Convert to fraction form
    1,195.41/1,649.55 = 698.01/x
  3. Step 3: Cross multiply
    1,195.41x = 1,649.55 × 698.01
  4. Step 4: Simplify right side
    1,195.41x = 1,151,402.40
  5. Step 5: Solve for x
    x = 1,151,402.40/1,195.41
  6. Step 6: Final answer
    x = 963.19

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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.