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Finding the Fourth Proportional to 1,631.50, 2,447.26 and 477.26

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Solution

The fourth proportional to 1,631.50, 2,447.26 and 477.26 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.50 : 2,447.26 = 477.26 : x
  2. Step 2: Convert to fraction form
    1,631.50/2,447.26 = 477.26/x
  3. Step 3: Cross multiply
    1,631.50x = 2,447.26 × 477.26
  4. Step 4: Simplify right side
    1,631.50x = 1,167,979.31
  5. Step 5: Solve for x
    x = 1,167,979.31/1,631.50
  6. Step 6: Final answer
    x = 715.89

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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.