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Finding the Fourth Proportional to 1,227.24, 1,841.02 and 405.30

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Solution

The fourth proportional to 1,227.24, 1,841.02 and 405.30 is: 608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.24 : 1,841.02 = 405.30 : x
  2. Step 2: Convert to fraction form
    1,227.24/1,841.02 = 405.30/x
  3. Step 3: Cross multiply
    1,227.24x = 1,841.02 × 405.30
  4. Step 4: Simplify right side
    1,227.24x = 746,165.41
  5. Step 5: Solve for x
    x = 746,165.41/1,227.24
  6. Step 6: Final answer
    x = 608.00

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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.