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Finding the Fourth Proportional to 1,123.49, 1,685.24 and 301.76

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Solution

The fourth proportional to 1,123.49, 1,685.24 and 301.76 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.49 : 1,685.24 = 301.76 : x
  2. Step 2: Convert to fraction form
    1,123.49/1,685.24 = 301.76/x
  3. Step 3: Cross multiply
    1,123.49x = 1,685.24 × 301.76
  4. Step 4: Simplify right side
    1,123.49x = 508,528.09
  5. Step 5: Solve for x
    x = 508,528.09/1,123.49
  6. Step 6: Final answer
    x = 452.63

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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.