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Finding the Fourth Proportional to 1,583.70, 2,374.54 and 659.90

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Solution

The fourth proportional to 1,583.70, 2,374.54 and 659.90 is: 989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.70 : 2,374.54 = 659.90 : x
  2. Step 2: Convert to fraction form
    1,583.70/2,374.54 = 659.90/x
  3. Step 3: Cross multiply
    1,583.70x = 2,374.54 × 659.90
  4. Step 4: Simplify right side
    1,583.70x = 1,566,958.95
  5. Step 5: Solve for x
    x = 1,566,958.95/1,583.70
  6. Step 6: Final answer
    x = 989.43

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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.