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Finding the Fourth Proportional to 1,568.37, 2,351.16 and 595.16

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Solution

The fourth proportional to 1,568.37, 2,351.16 and 595.16 is: 892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.37 : 2,351.16 = 595.16 : x
  2. Step 2: Convert to fraction form
    1,568.37/2,351.16 = 595.16/x
  3. Step 3: Cross multiply
    1,568.37x = 2,351.16 × 595.16
  4. Step 4: Simplify right side
    1,568.37x = 1,399,304.63
  5. Step 5: Solve for x
    x = 1,399,304.63/1,568.37
  6. Step 6: Final answer
    x = 892.20

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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.