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Finding the Fourth Proportional to 927.08, 1,390.86 and 379.64

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Solution

The fourth proportional to 927.08, 1,390.86 and 379.64 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.08 : 1,390.86 = 379.64 : x
  2. Step 2: Convert to fraction form
    927.08/1,390.86 = 379.64/x
  3. Step 3: Cross multiply
    927.08x = 1,390.86 × 379.64
  4. Step 4: Simplify right side
    927.08x = 528,026.09
  5. Step 5: Solve for x
    x = 528,026.09/927.08
  6. Step 6: Final answer
    x = 569.56

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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.