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Finding the Fourth Proportional to 1,138.28, 1,707.41 and 316.55

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Solution

The fourth proportional to 1,138.28, 1,707.41 and 316.55 is: 474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.28 : 1,707.41 = 316.55 : x
  2. Step 2: Convert to fraction form
    1,138.28/1,707.41 = 316.55/x
  3. Step 3: Cross multiply
    1,138.28x = 1,707.41 × 316.55
  4. Step 4: Simplify right side
    1,138.28x = 540,483.32
  5. Step 5: Solve for x
    x = 540,483.32/1,138.28
  6. Step 6: Final answer
    x = 474.83

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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.