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Finding the Fourth Proportional to 1,347.07, 2,020.62 and 422.59

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Solution

The fourth proportional to 1,347.07, 2,020.62 and 422.59 is: 633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.07 : 2,020.62 = 422.59 : x
  2. Step 2: Convert to fraction form
    1,347.07/2,020.62 = 422.59/x
  3. Step 3: Cross multiply
    1,347.07x = 2,020.62 × 422.59
  4. Step 4: Simplify right side
    1,347.07x = 853,893.81
  5. Step 5: Solve for x
    x = 853,893.81/1,347.07
  6. Step 6: Final answer
    x = 633.89

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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.