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Finding the Fourth Proportional to 1,122.71, 1,684.64 and 538.36

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Solution

The fourth proportional to 1,122.71, 1,684.64 and 538.36 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.71 : 1,684.64 = 538.36 : x
  2. Step 2: Convert to fraction form
    1,122.71/1,684.64 = 538.36/x
  3. Step 3: Cross multiply
    1,122.71x = 1,684.64 × 538.36
  4. Step 4: Simplify right side
    1,122.71x = 906,939.92
  5. Step 5: Solve for x
    x = 906,939.92/1,122.71
  6. Step 6: Final answer
    x = 807.82

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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.