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Finding the Fourth Proportional to 1,316.28, 1,975.17 and 768.72

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Solution

The fourth proportional to 1,316.28, 1,975.17 and 768.72 is: 1,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.28 : 1,975.17 = 768.72 : x
  2. Step 2: Convert to fraction form
    1,316.28/1,975.17 = 768.72/x
  3. Step 3: Cross multiply
    1,316.28x = 1,975.17 × 768.72
  4. Step 4: Simplify right side
    1,316.28x = 1,518,352.68
  5. Step 5: Solve for x
    x = 1,518,352.68/1,316.28
  6. Step 6: Final answer
    x = 1,153.52

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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.