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Finding the Fourth Proportional to 1,183.86, 1,633.61 and 686.53

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Solution

The fourth proportional to 1,183.86, 1,633.61 and 686.53 is: 947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.86 : 1,633.61 = 686.53 : x
  2. Step 2: Convert to fraction form
    1,183.86/1,633.61 = 686.53/x
  3. Step 3: Cross multiply
    1,183.86x = 1,633.61 × 686.53
  4. Step 4: Simplify right side
    1,183.86x = 1,121,526.03
  5. Step 5: Solve for x
    x = 1,121,526.03/1,183.86
  6. Step 6: Final answer
    x = 947.35

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Why These Related Problems?

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