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Finding the Fourth Proportional to 1,195.70, 1,649.97 and 698.63

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Solution

The fourth proportional to 1,195.70, 1,649.97 and 698.63 is: 964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.70 : 1,649.97 = 698.63 : x
  2. Step 2: Convert to fraction form
    1,195.70/1,649.97 = 698.63/x
  3. Step 3: Cross multiply
    1,195.70x = 1,649.97 × 698.63
  4. Step 4: Simplify right side
    1,195.70x = 1,152,710.29
  5. Step 5: Solve for x
    x = 1,152,710.29/1,195.70
  6. Step 6: Final answer
    x = 964.05

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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.