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Finding the Fourth Proportional to 1,224.66, 1,836.63 and 521.99

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Solution

The fourth proportional to 1,224.66, 1,836.63 and 521.99 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.66 : 1,836.63 = 521.99 : x
  2. Step 2: Convert to fraction form
    1,224.66/1,836.63 = 521.99/x
  3. Step 3: Cross multiply
    1,224.66x = 1,836.63 × 521.99
  4. Step 4: Simplify right side
    1,224.66x = 958,693.31
  5. Step 5: Solve for x
    x = 958,693.31/1,224.66
  6. Step 6: Final answer
    x = 782.82

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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.