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Finding the Fourth Proportional to 1,024.09, 1,536.10 and 446.96

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Solution

The fourth proportional to 1,024.09, 1,536.10 and 446.96 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.09 : 1,536.10 = 446.96 : x
  2. Step 2: Convert to fraction form
    1,024.09/1,536.10 = 446.96/x
  3. Step 3: Cross multiply
    1,024.09x = 1,536.10 × 446.96
  4. Step 4: Simplify right side
    1,024.09x = 686,575.26
  5. Step 5: Solve for x
    x = 686,575.26/1,024.09
  6. Step 6: Final answer
    x = 670.42

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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.