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Finding the Fourth Proportional to 1,583.16, 2,375.90 and 596.90

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Solution

The fourth proportional to 1,583.16, 2,375.90 and 596.90 is: 895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.16 : 2,375.90 = 596.90 : x
  2. Step 2: Convert to fraction form
    1,583.16/2,375.90 = 596.90/x
  3. Step 3: Cross multiply
    1,583.16x = 2,375.90 × 596.90
  4. Step 4: Simplify right side
    1,583.16x = 1,418,174.71
  5. Step 5: Solve for x
    x = 1,418,174.71/1,583.16
  6. Step 6: Final answer
    x = 895.79

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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.