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Finding the Fourth Proportional to 1,198.48, 1,797.66 and 705.16

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Solution

The fourth proportional to 1,198.48, 1,797.66 and 705.16 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.48 : 1,797.66 = 705.16 : x
  2. Step 2: Convert to fraction form
    1,198.48/1,797.66 = 705.16/x
  3. Step 3: Cross multiply
    1,198.48x = 1,797.66 × 705.16
  4. Step 4: Simplify right side
    1,198.48x = 1,267,637.93
  5. Step 5: Solve for x
    x = 1,267,637.93/1,198.48
  6. Step 6: Final answer
    x = 1,057.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.