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Finding the Fourth Proportional to 1,122.84, 1,683.30 and 546.12

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Solution

The fourth proportional to 1,122.84, 1,683.30 and 546.12 is: 818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.84 : 1,683.30 = 546.12 : x
  2. Step 2: Convert to fraction form
    1,122.84/1,683.30 = 546.12/x
  3. Step 3: Cross multiply
    1,122.84x = 1,683.30 × 546.12
  4. Step 4: Simplify right side
    1,122.84x = 919,283.80
  5. Step 5: Solve for x
    x = 919,283.80/1,122.84
  6. Step 6: Final answer
    x = 818.71

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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.