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Finding the Fourth Proportional to 1,221.77, 1,833.37 and 832.03

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Solution

The fourth proportional to 1,221.77, 1,833.37 and 832.03 is: 1,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.77 : 1,833.37 = 832.03 : x
  2. Step 2: Convert to fraction form
    1,221.77/1,833.37 = 832.03/x
  3. Step 3: Cross multiply
    1,221.77x = 1,833.37 × 832.03
  4. Step 4: Simplify right side
    1,221.77x = 1,525,412.18
  5. Step 5: Solve for x
    x = 1,525,412.18/1,221.77
  6. Step 6: Final answer
    x = 1,248.52

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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.