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Finding the Fourth Proportional to 1,305.61, 1,800.81 and 801.49

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Solution

The fourth proportional to 1,305.61, 1,800.81 and 801.49 is: 1,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.61 : 1,800.81 = 801.49 : x
  2. Step 2: Convert to fraction form
    1,305.61/1,800.81 = 801.49/x
  3. Step 3: Cross multiply
    1,305.61x = 1,800.81 × 801.49
  4. Step 4: Simplify right side
    1,305.61x = 1,443,328.71
  5. Step 5: Solve for x
    x = 1,443,328.71/1,305.61
  6. Step 6: Final answer
    x = 1,105.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.