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Finding the Fourth Proportional to 1,173.34, 1,758.66 and 556.66

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Solution

The fourth proportional to 1,173.34, 1,758.66 and 556.66 is: 834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.34 : 1,758.66 = 556.66 : x
  2. Step 2: Convert to fraction form
    1,173.34/1,758.66 = 556.66/x
  3. Step 3: Cross multiply
    1,173.34x = 1,758.66 × 556.66
  4. Step 4: Simplify right side
    1,173.34x = 978,975.68
  5. Step 5: Solve for x
    x = 978,975.68/1,173.34
  6. Step 6: Final answer
    x = 834.35

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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.