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Finding the Fourth Proportional to 1,363.02, 2,044.48 and 389.12

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Solution

The fourth proportional to 1,363.02, 2,044.48 and 389.12 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.02 : 2,044.48 = 389.12 : x
  2. Step 2: Convert to fraction form
    1,363.02/2,044.48 = 389.12/x
  3. Step 3: Cross multiply
    1,363.02x = 2,044.48 × 389.12
  4. Step 4: Simplify right side
    1,363.02x = 795,542.95
  5. Step 5: Solve for x
    x = 795,542.95/1,363.02
  6. Step 6: Final answer
    x = 583.66

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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.