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Finding the Fourth Proportional to 1,216.26, 1,822.98 and 522.51

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Solution

The fourth proportional to 1,216.26, 1,822.98 and 522.51 is: 783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.26 : 1,822.98 = 522.51 : x
  2. Step 2: Convert to fraction form
    1,216.26/1,822.98 = 522.51/x
  3. Step 3: Cross multiply
    1,216.26x = 1,822.98 × 522.51
  4. Step 4: Simplify right side
    1,216.26x = 952,525.28
  5. Step 5: Solve for x
    x = 952,525.28/1,216.26
  6. Step 6: Final answer
    x = 783.16

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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.