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Finding the Fourth Proportional to 1,126.76, 1,690.27 and 578.79

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Solution

The fourth proportional to 1,126.76, 1,690.27 and 578.79 is: 868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.76 : 1,690.27 = 578.79 : x
  2. Step 2: Convert to fraction form
    1,126.76/1,690.27 = 578.79/x
  3. Step 3: Cross multiply
    1,126.76x = 1,690.27 × 578.79
  4. Step 4: Simplify right side
    1,126.76x = 978,309.93
  5. Step 5: Solve for x
    x = 978,309.93/1,126.76
  6. Step 6: Final answer
    x = 868.25

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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.