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Finding the Fourth Proportional to 1,123.21, 1,684.88 and 343.24

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Solution

The fourth proportional to 1,123.21, 1,684.88 and 343.24 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.21 : 1,684.88 = 343.24 : x
  2. Step 2: Convert to fraction form
    1,123.21/1,684.88 = 343.24/x
  3. Step 3: Cross multiply
    1,123.21x = 1,684.88 × 343.24
  4. Step 4: Simplify right side
    1,123.21x = 578,308.07
  5. Step 5: Solve for x
    x = 578,308.07/1,123.21
  6. Step 6: Final answer
    x = 514.87

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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.