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Finding the Fourth Proportional to 1,121.22, 1,681.89 and 687.47

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Solution

The fourth proportional to 1,121.22, 1,681.89 and 687.47 is: 1,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.22 : 1,681.89 = 687.47 : x
  2. Step 2: Convert to fraction form
    1,121.22/1,681.89 = 687.47/x
  3. Step 3: Cross multiply
    1,121.22x = 1,681.89 × 687.47
  4. Step 4: Simplify right side
    1,121.22x = 1,156,240.51
  5. Step 5: Solve for x
    x = 1,156,240.51/1,121.22
  6. Step 6: Final answer
    x = 1,031.23

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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.