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Finding the Fourth Proportional to 1,183.48, 1,632.98 and 686.08

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Solution

The fourth proportional to 1,183.48, 1,632.98 and 686.08 is: 946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.48 : 1,632.98 = 686.08 : x
  2. Step 2: Convert to fraction form
    1,183.48/1,632.98 = 686.08/x
  3. Step 3: Cross multiply
    1,183.48x = 1,632.98 × 686.08
  4. Step 4: Simplify right side
    1,183.48x = 1,120,354.92
  5. Step 5: Solve for x
    x = 1,120,354.92/1,183.48
  6. Step 6: Final answer
    x = 946.66

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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.