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Finding the Fourth Proportional to 1,123.42, 1,684.04 and 575.86

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Solution

The fourth proportional to 1,123.42, 1,684.04 and 575.86 is: 863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.42 : 1,684.04 = 575.86 : x
  2. Step 2: Convert to fraction form
    1,123.42/1,684.04 = 575.86/x
  3. Step 3: Cross multiply
    1,123.42x = 1,684.04 × 575.86
  4. Step 4: Simplify right side
    1,123.42x = 969,771.27
  5. Step 5: Solve for x
    x = 969,771.27/1,123.42
  6. Step 6: Final answer
    x = 863.23

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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.