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Finding the Fourth Proportional to 1,536.29, 2,304.20 and 562.16

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Solution

The fourth proportional to 1,536.29, 2,304.20 and 562.16 is: 843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.29 : 2,304.20 = 562.16 : x
  2. Step 2: Convert to fraction form
    1,536.29/2,304.20 = 562.16/x
  3. Step 3: Cross multiply
    1,536.29x = 2,304.20 × 562.16
  4. Step 4: Simplify right side
    1,536.29x = 1,295,326.26
  5. Step 5: Solve for x
    x = 1,295,326.26/1,536.29
  6. Step 6: Final answer
    x = 843.15

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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.