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Finding the Fourth Proportional to 1,348.26, 2,023.62 and 568.84

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Solution

The fourth proportional to 1,348.26, 2,023.62 and 568.84 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.26 : 2,023.62 = 568.84 : x
  2. Step 2: Convert to fraction form
    1,348.26/2,023.62 = 568.84/x
  3. Step 3: Cross multiply
    1,348.26x = 2,023.62 × 568.84
  4. Step 4: Simplify right side
    1,348.26x = 1,151,116.00
  5. Step 5: Solve for x
    x = 1,151,116.00/1,348.26
  6. Step 6: Final answer
    x = 853.78

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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.