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Finding the Fourth Proportional to 1,473.26, 2,210.09 and 499.10

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Solution

The fourth proportional to 1,473.26, 2,210.09 and 499.10 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.26 : 2,210.09 = 499.10 : x
  2. Step 2: Convert to fraction form
    1,473.26/2,210.09 = 499.10/x
  3. Step 3: Cross multiply
    1,473.26x = 2,210.09 × 499.10
  4. Step 4: Simplify right side
    1,473.26x = 1,103,042.37
  5. Step 5: Solve for x
    x = 1,103,042.37/1,473.26
  6. Step 6: Final answer
    x = 748.71

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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.