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Finding the Fourth Proportional to 1,214.47, 1,823 and 521.48

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Solution

The fourth proportional to 1,214.47, 1,823 and 521.48 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.47 : 1,823 = 521.48 : x
  2. Step 2: Convert to fraction form
    1,214.47/1,823 = 521.48/x
  3. Step 3: Cross multiply
    1,214.47x = 1,823 × 521.48
  4. Step 4: Simplify right side
    1,214.47x = 950,658.04
  5. Step 5: Solve for x
    x = 950,658.04/1,214.47
  6. Step 6: Final answer
    x = 782.78

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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.