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Finding the Fourth Proportional to 1,123.36, 1,685.04 and 301.75

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Solution

The fourth proportional to 1,123.36, 1,685.04 and 301.75 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.36 : 1,685.04 = 301.75 : x
  2. Step 2: Convert to fraction form
    1,123.36/1,685.04 = 301.75/x
  3. Step 3: Cross multiply
    1,123.36x = 1,685.04 × 301.75
  4. Step 4: Simplify right side
    1,123.36x = 508,460.82
  5. Step 5: Solve for x
    x = 508,460.82/1,123.36
  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.