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Finding the Fourth Proportional to 1,217.13, 1,823.93 and 661.37

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Solution

The fourth proportional to 1,217.13, 1,823.93 and 661.37 is: 991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.13 : 1,823.93 = 661.37 : x
  2. Step 2: Convert to fraction form
    1,217.13/1,823.93 = 661.37/x
  3. Step 3: Cross multiply
    1,217.13x = 1,823.93 × 661.37
  4. Step 4: Simplify right side
    1,217.13x = 1,206,292.58
  5. Step 5: Solve for x
    x = 1,206,292.58/1,217.13
  6. Step 6: Final answer
    x = 991.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.