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Finding the Fourth Proportional to 1,223.55, 1,685.68 and 904.61

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Solution

The fourth proportional to 1,223.55, 1,685.68 and 904.61 is: 1,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.55 : 1,685.68 = 904.61 : x
  2. Step 2: Convert to fraction form
    1,223.55/1,685.68 = 904.61/x
  3. Step 3: Cross multiply
    1,223.55x = 1,685.68 × 904.61
  4. Step 4: Simplify right side
    1,223.55x = 1,524,882.98
  5. Step 5: Solve for x
    x = 1,524,882.98/1,223.55
  6. Step 6: Final answer
    x = 1,246.28

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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.