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Finding the Fourth Proportional to 1,583.16, 2,372 and 657.78

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Solution

The fourth proportional to 1,583.16, 2,372 and 657.78 is: 985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.16 : 2,372 = 657.78 : x
  2. Step 2: Convert to fraction form
    1,583.16/2,372 = 657.78/x
  3. Step 3: Cross multiply
    1,583.16x = 2,372 × 657.78
  4. Step 4: Simplify right side
    1,583.16x = 1,560,254.16
  5. Step 5: Solve for x
    x = 1,560,254.16/1,583.16
  6. Step 6: Final answer
    x = 985.53

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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.