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Finding the Fourth Proportional to 1,707.97, 2,562.18 and 612.25

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Solution

The fourth proportional to 1,707.97, 2,562.18 and 612.25 is: 918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.97 : 2,562.18 = 612.25 : x
  2. Step 2: Convert to fraction form
    1,707.97/2,562.18 = 612.25/x
  3. Step 3: Cross multiply
    1,707.97x = 2,562.18 × 612.25
  4. Step 4: Simplify right side
    1,707.97x = 1,568,694.71
  5. Step 5: Solve for x
    x = 1,568,694.71/1,707.97
  6. Step 6: Final answer
    x = 918.46

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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.