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Finding the Fourth Proportional to 1,096.98, 1,642.26 and 575.74

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Solution

The fourth proportional to 1,096.98, 1,642.26 and 575.74 is: 861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.98 : 1,642.26 = 575.74 : x
  2. Step 2: Convert to fraction form
    1,096.98/1,642.26 = 575.74/x
  3. Step 3: Cross multiply
    1,096.98x = 1,642.26 × 575.74
  4. Step 4: Simplify right side
    1,096.98x = 945,514.77
  5. Step 5: Solve for x
    x = 945,514.77/1,096.98
  6. Step 6: Final answer
    x = 861.93

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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.