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Finding the Fourth Proportional to 1,589.85, 2,384.73 and 712.15

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Solution

The fourth proportional to 1,589.85, 2,384.73 and 712.15 is: 1,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.85 : 2,384.73 = 712.15 : x
  2. Step 2: Convert to fraction form
    1,589.85/2,384.73 = 712.15/x
  3. Step 3: Cross multiply
    1,589.85x = 2,384.73 × 712.15
  4. Step 4: Simplify right side
    1,589.85x = 1,698,273.55
  5. Step 5: Solve for x
    x = 1,698,273.55/1,589.85
  6. Step 6: Final answer
    x = 1,068.20

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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.