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Finding the Fourth Proportional to 1,183.74, 1,633.64 and 686.54

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Solution

The fourth proportional to 1,183.74, 1,633.64 and 686.54 is: 947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.74 : 1,633.64 = 686.54 : x
  2. Step 2: Convert to fraction form
    1,183.74/1,633.64 = 686.54/x
  3. Step 3: Cross multiply
    1,183.74x = 1,633.64 × 686.54
  4. Step 4: Simplify right side
    1,183.74x = 1,121,547.60
  5. Step 5: Solve for x
    x = 1,121,547.60/1,183.74
  6. Step 6: Final answer
    x = 947.46

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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.