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Finding the Fourth Proportional to 1,348.57, 2,021.71 and 722.47

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Solution

The fourth proportional to 1,348.57, 2,021.71 and 722.47 is: 1,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.57 : 2,021.71 = 722.47 : x
  2. Step 2: Convert to fraction form
    1,348.57/2,021.71 = 722.47/x
  3. Step 3: Cross multiply
    1,348.57x = 2,021.71 × 722.47
  4. Step 4: Simplify right side
    1,348.57x = 1,460,624.82
  5. Step 5: Solve for x
    x = 1,460,624.82/1,348.57
  6. Step 6: Final answer
    x = 1,083.09

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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.