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Finding the Fourth Proportional to 1,024.26, 1,536.59 and 561.79

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Solution

The fourth proportional to 1,024.26, 1,536.59 and 561.79 is: 842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.26 : 1,536.59 = 561.79 : x
  2. Step 2: Convert to fraction form
    1,024.26/1,536.59 = 561.79/x
  3. Step 3: Cross multiply
    1,024.26x = 1,536.59 × 561.79
  4. Step 4: Simplify right side
    1,024.26x = 863,234.25
  5. Step 5: Solve for x
    x = 863,234.25/1,024.26
  6. Step 6: Final answer
    x = 842.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.