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Finding the Fourth Proportional to 927.16, 1,389.54 and 378.71

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Solution

The fourth proportional to 927.16, 1,389.54 and 378.71 is: 567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.16 : 1,389.54 = 378.71 : x
  2. Step 2: Convert to fraction form
    927.16/1,389.54 = 378.71/x
  3. Step 3: Cross multiply
    927.16x = 1,389.54 × 378.71
  4. Step 4: Simplify right side
    927.16x = 526,232.69
  5. Step 5: Solve for x
    x = 526,232.69/927.16
  6. Step 6: Final answer
    x = 567.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.