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Finding the Fourth Proportional to 1,155.64, 1,733.24 and 311.34

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Solution

The fourth proportional to 1,155.64, 1,733.24 and 311.34 is: 466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.64 : 1,733.24 = 311.34 : x
  2. Step 2: Convert to fraction form
    1,155.64/1,733.24 = 311.34/x
  3. Step 3: Cross multiply
    1,155.64x = 1,733.24 × 311.34
  4. Step 4: Simplify right side
    1,155.64x = 539,626.94
  5. Step 5: Solve for x
    x = 539,626.94/1,155.64
  6. Step 6: Final answer
    x = 466.95

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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.