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Finding the Fourth Proportional to 1,453.72, 2,178.96 and 632.38

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Solution

The fourth proportional to 1,453.72, 2,178.96 and 632.38 is: 947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.72 : 2,178.96 = 632.38 : x
  2. Step 2: Convert to fraction form
    1,453.72/2,178.96 = 632.38/x
  3. Step 3: Cross multiply
    1,453.72x = 2,178.96 × 632.38
  4. Step 4: Simplify right side
    1,453.72x = 1,377,930.72
  5. Step 5: Solve for x
    x = 1,377,930.72/1,453.72
  6. Step 6: Final answer
    x = 947.87

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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.