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Finding the Fourth Proportional to 1,589.20, 2,383.64 and 434.88

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Solution

The fourth proportional to 1,589.20, 2,383.64 and 434.88 is: 652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.20 : 2,383.64 = 434.88 : x
  2. Step 2: Convert to fraction form
    1,589.20/2,383.64 = 434.88/x
  3. Step 3: Cross multiply
    1,589.20x = 2,383.64 × 434.88
  4. Step 4: Simplify right side
    1,589.20x = 1,036,597.36
  5. Step 5: Solve for x
    x = 1,036,597.36/1,589.20
  6. Step 6: Final answer
    x = 652.28

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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.