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Finding the Fourth Proportional to 1,024.82, 1,536.61 and 374.79

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Solution

The fourth proportional to 1,024.82, 1,536.61 and 374.79 is: 561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.82 : 1,536.61 = 374.79 : x
  2. Step 2: Convert to fraction form
    1,024.82/1,536.61 = 374.79/x
  3. Step 3: Cross multiply
    1,024.82x = 1,536.61 × 374.79
  4. Step 4: Simplify right side
    1,024.82x = 575,906.06
  5. Step 5: Solve for x
    x = 575,906.06/1,024.82
  6. Step 6: Final answer
    x = 561.96

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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.