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Finding the Fourth Proportional to 725.22, 1,002.24 and 608.58

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Solution

The fourth proportional to 725.22, 1,002.24 and 608.58 is: 841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.22 : 1,002.24 = 608.58 : x
  2. Step 2: Convert to fraction form
    725.22/1,002.24 = 608.58/x
  3. Step 3: Cross multiply
    725.22x = 1,002.24 × 608.58
  4. Step 4: Simplify right side
    725.22x = 609,943.22
  5. Step 5: Solve for x
    x = 609,943.22/725.22
  6. Step 6: Final answer
    x = 841.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.