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Finding the Fourth Proportional to 1,228.73, 1,695.63 and 669.22

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Solution

The fourth proportional to 1,228.73, 1,695.63 and 669.22 is: 923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.73 : 1,695.63 = 669.22 : x
  2. Step 2: Convert to fraction form
    1,228.73/1,695.63 = 669.22/x
  3. Step 3: Cross multiply
    1,228.73x = 1,695.63 × 669.22
  4. Step 4: Simplify right side
    1,228.73x = 1,134,741.92
  5. Step 5: Solve for x
    x = 1,134,741.92/1,228.73
  6. Step 6: Final answer
    x = 923.51

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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.