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Finding the Fourth Proportional to 1,568.00, 2,350.17 and 593.16

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Solution

The fourth proportional to 1,568.00, 2,350.17 and 593.16 is: 889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.00 : 2,350.17 = 593.16 : x
  2. Step 2: Convert to fraction form
    1,568.00/2,350.17 = 593.16/x
  3. Step 3: Cross multiply
    1,568.00x = 2,350.17 × 593.16
  4. Step 4: Simplify right side
    1,568.00x = 1,394,026.84
  5. Step 5: Solve for x
    x = 1,394,026.84/1,568.00
  6. Step 6: Final answer
    x = 889.05

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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.