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Finding the Fourth Proportional to 1,024.34, 1,536.17 and 562.64

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Solution

The fourth proportional to 1,024.34, 1,536.17 and 562.64 is: 843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.34 : 1,536.17 = 562.64 : x
  2. Step 2: Convert to fraction form
    1,024.34/1,536.17 = 562.64/x
  3. Step 3: Cross multiply
    1,024.34x = 1,536.17 × 562.64
  4. Step 4: Simplify right side
    1,024.34x = 864,300.19
  5. Step 5: Solve for x
    x = 864,300.19/1,024.34
  6. Step 6: Final answer
    x = 843.77

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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.