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Finding the Fourth Proportional to 1,134.27, 1,701.21 and 312.60

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Solution

The fourth proportional to 1,134.27, 1,701.21 and 312.60 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.27 : 1,701.21 = 312.60 : x
  2. Step 2: Convert to fraction form
    1,134.27/1,701.21 = 312.60/x
  3. Step 3: Cross multiply
    1,134.27x = 1,701.21 × 312.60
  4. Step 4: Simplify right side
    1,134.27x = 531,798.25
  5. Step 5: Solve for x
    x = 531,798.25/1,134.27
  6. Step 6: Final answer
    x = 468.85

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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.