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Finding the Fourth Proportional to 1,536.24, 2,304.72 and 562.56

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Solution

The fourth proportional to 1,536.24, 2,304.72 and 562.56 is: 843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.24 : 2,304.72 = 562.56 : x
  2. Step 2: Convert to fraction form
    1,536.24/2,304.72 = 562.56/x
  3. Step 3: Cross multiply
    1,536.24x = 2,304.72 × 562.56
  4. Step 4: Simplify right side
    1,536.24x = 1,296,543.28
  5. Step 5: Solve for x
    x = 1,296,543.28/1,536.24
  6. Step 6: Final answer
    x = 843.97

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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.