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Finding the Fourth Proportional to 1,349.26, 2,024.07 and 471.94

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Solution

The fourth proportional to 1,349.26, 2,024.07 and 471.94 is: 707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.26 : 2,024.07 = 471.94 : x
  2. Step 2: Convert to fraction form
    1,349.26/2,024.07 = 471.94/x
  3. Step 3: Cross multiply
    1,349.26x = 2,024.07 × 471.94
  4. Step 4: Simplify right side
    1,349.26x = 955,239.60
  5. Step 5: Solve for x
    x = 955,239.60/1,349.26
  6. Step 6: Final answer
    x = 707.97

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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.