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Finding the Fourth Proportional to 1,536.91, 2,305.56 and 441.30

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Solution

The fourth proportional to 1,536.91, 2,305.56 and 441.30 is: 662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.91 : 2,305.56 = 441.30 : x
  2. Step 2: Convert to fraction form
    1,536.91/2,305.56 = 441.30/x
  3. Step 3: Cross multiply
    1,536.91x = 2,305.56 × 441.30
  4. Step 4: Simplify right side
    1,536.91x = 1,017,437.86
  5. Step 5: Solve for x
    x = 1,017,437.86/1,536.91
  6. Step 6: Final answer
    x = 662.00

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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.