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Finding the Fourth Proportional to 1,227.30, 1,841.37 and 578.07

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Solution

The fourth proportional to 1,227.30, 1,841.37 and 578.07 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.30 : 1,841.37 = 578.07 : x
  2. Step 2: Convert to fraction form
    1,227.30/1,841.37 = 578.07/x
  3. Step 3: Cross multiply
    1,227.30x = 1,841.37 × 578.07
  4. Step 4: Simplify right side
    1,227.30x = 1,064,440.76
  5. Step 5: Solve for x
    x = 1,064,440.76/1,227.30
  6. Step 6: Final answer
    x = 867.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.