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Finding the Fourth Proportional to 1,183.06, 1,632.93 and 686.02

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Solution

The fourth proportional to 1,183.06, 1,632.93 and 686.02 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.06 : 1,632.93 = 686.02 : x
  2. Step 2: Convert to fraction form
    1,183.06/1,632.93 = 686.02/x
  3. Step 3: Cross multiply
    1,183.06x = 1,632.93 × 686.02
  4. Step 4: Simplify right side
    1,183.06x = 1,120,222.64
  5. Step 5: Solve for x
    x = 1,120,222.64/1,183.06
  6. Step 6: Final answer
    x = 946.89

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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.