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Finding the Fourth Proportional to 1,174.35, 1,759.13 and 556.18

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Solution

The fourth proportional to 1,174.35, 1,759.13 and 556.18 is: 833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.35 : 1,759.13 = 556.18 : x
  2. Step 2: Convert to fraction form
    1,174.35/1,759.13 = 556.18/x
  3. Step 3: Cross multiply
    1,174.35x = 1,759.13 × 556.18
  4. Step 4: Simplify right side
    1,174.35x = 978,387.83
  5. Step 5: Solve for x
    x = 978,387.83/1,174.35
  6. Step 6: Final answer
    x = 833.13

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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.