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Finding the Fourth Proportional to 983.30, 1,468.07 and 845.78

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Solution

The fourth proportional to 983.30, 1,468.07 and 845.78 is: 1,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.30 : 1,468.07 = 845.78 : x
  2. Step 2: Convert to fraction form
    983.30/1,468.07 = 845.78/x
  3. Step 3: Cross multiply
    983.30x = 1,468.07 × 845.78
  4. Step 4: Simplify right side
    983.30x = 1,241,655.85
  5. Step 5: Solve for x
    x = 1,241,655.85/983.30
  6. Step 6: Final answer
    x = 1,262.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.