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Finding the Fourth Proportional to 927.16, 1,280.16 and 741.67

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Solution

The fourth proportional to 927.16, 1,280.16 and 741.67 is: 1,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.16 : 1,280.16 = 741.67 : x
  2. Step 2: Convert to fraction form
    927.16/1,280.16 = 741.67/x
  3. Step 3: Cross multiply
    927.16x = 1,280.16 × 741.67
  4. Step 4: Simplify right side
    927.16x = 949,456.27
  5. Step 5: Solve for x
    x = 949,456.27/927.16
  6. Step 6: Final answer
    x = 1,024.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.