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Finding the Fourth Proportional to 983.13, 1,473.77 and 366.68

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Solution

The fourth proportional to 983.13, 1,473.77 and 366.68 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,473.77 = 366.68 : x
  2. Step 2: Convert to fraction form
    983.13/1,473.77 = 366.68/x
  3. Step 3: Cross multiply
    983.13x = 1,473.77 × 366.68
  4. Step 4: Simplify right side
    983.13x = 540,406.58
  5. Step 5: Solve for x
    x = 540,406.58/983.13
  6. Step 6: Final answer
    x = 549.68

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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.