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Finding the Fourth Proportional to 1,589.75, 2,385.19 and 712.18

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Solution

The fourth proportional to 1,589.75, 2,385.19 and 712.18 is: 1,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.75 : 2,385.19 = 712.18 : x
  2. Step 2: Convert to fraction form
    1,589.75/2,385.19 = 712.18/x
  3. Step 3: Cross multiply
    1,589.75x = 2,385.19 × 712.18
  4. Step 4: Simplify right side
    1,589.75x = 1,698,681.05
  5. Step 5: Solve for x
    x = 1,698,681.05/1,589.75
  6. Step 6: Final answer
    x = 1,068.52

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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.