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Finding the Fourth Proportional to 1,214.87, 1,822.90 and 521.33

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Solution

The fourth proportional to 1,214.87, 1,822.90 and 521.33 is: 782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.87 : 1,822.90 = 521.33 : x
  2. Step 2: Convert to fraction form
    1,214.87/1,822.90 = 521.33/x
  3. Step 3: Cross multiply
    1,214.87x = 1,822.90 × 521.33
  4. Step 4: Simplify right side
    1,214.87x = 950,337.01
  5. Step 5: Solve for x
    x = 950,337.01/1,214.87
  6. Step 6: Final answer
    x = 782.25

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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.