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Finding the Fourth Proportional to 1,583.61, 2,375.46 and 596.31

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Solution

The fourth proportional to 1,583.61, 2,375.46 and 596.31 is: 894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.61 : 2,375.46 = 596.31 : x
  2. Step 2: Convert to fraction form
    1,583.61/2,375.46 = 596.31/x
  3. Step 3: Cross multiply
    1,583.61x = 2,375.46 × 596.31
  4. Step 4: Simplify right side
    1,583.61x = 1,416,510.55
  5. Step 5: Solve for x
    x = 1,416,510.55/1,583.61
  6. Step 6: Final answer
    x = 894.48

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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.