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Finding the Fourth Proportional to 1,475.26, 2,213.09 and 501.10

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Solution

The fourth proportional to 1,475.26, 2,213.09 and 501.10 is: 751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.26 : 2,213.09 = 501.10 : x
  2. Step 2: Convert to fraction form
    1,475.26/2,213.09 = 501.10/x
  3. Step 3: Cross multiply
    1,475.26x = 2,213.09 × 501.10
  4. Step 4: Simplify right side
    1,475.26x = 1,108,979.40
  5. Step 5: Solve for x
    x = 1,108,979.40/1,475.26
  6. Step 6: Final answer
    x = 751.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.