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Finding the Fourth Proportional to 1,218.42, 1,828.54 and 807.41

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Solution

The fourth proportional to 1,218.42, 1,828.54 and 807.41 is: 1,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.42 : 1,828.54 = 807.41 : x
  2. Step 2: Convert to fraction form
    1,218.42/1,828.54 = 807.41/x
  3. Step 3: Cross multiply
    1,218.42x = 1,828.54 × 807.41
  4. Step 4: Simplify right side
    1,218.42x = 1,476,381.48
  5. Step 5: Solve for x
    x = 1,476,381.48/1,218.42
  6. Step 6: Final answer
    x = 1,211.72

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