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Finding the Fourth Proportional to 1,589.47, 2,384.10 and 664.70

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Solution

The fourth proportional to 1,589.47, 2,384.10 and 664.70 is: 997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.47 : 2,384.10 = 664.70 : x
  2. Step 2: Convert to fraction form
    1,589.47/2,384.10 = 664.70/x
  3. Step 3: Cross multiply
    1,589.47x = 2,384.10 × 664.70
  4. Step 4: Simplify right side
    1,589.47x = 1,584,699.35
  5. Step 5: Solve for x
    x = 1,584,699.35/1,589.47
  6. Step 6: Final answer
    x = 997.00

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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.