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Finding the Fourth Proportional to 1,708.97, 2,563.25 and 598.14

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Solution

The fourth proportional to 1,708.97, 2,563.25 and 598.14 is: 897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.97 : 2,563.25 = 598.14 : x
  2. Step 2: Convert to fraction form
    1,708.97/2,563.25 = 598.14/x
  3. Step 3: Cross multiply
    1,708.97x = 2,563.25 × 598.14
  4. Step 4: Simplify right side
    1,708.97x = 1,533,179.36
  5. Step 5: Solve for x
    x = 1,533,179.36/1,708.97
  6. Step 6: Final answer
    x = 897.14

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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.