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Finding the Fourth Proportional to 1,127.10, 1,690.62 and 578.97

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Solution

The fourth proportional to 1,127.10, 1,690.62 and 578.97 is: 868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.10 : 1,690.62 = 578.97 : x
  2. Step 2: Convert to fraction form
    1,127.10/1,690.62 = 578.97/x
  3. Step 3: Cross multiply
    1,127.10x = 1,690.62 × 578.97
  4. Step 4: Simplify right side
    1,127.10x = 978,818.26
  5. Step 5: Solve for x
    x = 978,818.26/1,127.10
  6. Step 6: Final answer
    x = 868.44

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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.