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Finding the Fourth Proportional to 1,222.55, 1,684.31 and 903.61

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Solution

The fourth proportional to 1,222.55, 1,684.31 and 903.61 is: 1,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.55 : 1,684.31 = 903.61 : x
  2. Step 2: Convert to fraction form
    1,222.55/1,684.31 = 903.61/x
  3. Step 3: Cross multiply
    1,222.55x = 1,684.31 × 903.61
  4. Step 4: Simplify right side
    1,222.55x = 1,521,946.42
  5. Step 5: Solve for x
    x = 1,521,946.42/1,222.55
  6. Step 6: Final answer
    x = 1,244.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.