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Finding the Fourth Proportional to 865.38, 1,298.07 and 784.38

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Solution

The fourth proportional to 865.38, 1,298.07 and 784.38 is: 1,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,298.07 = 784.38 : x
  2. Step 2: Convert to fraction form
    865.38/1,298.07 = 784.38/x
  3. Step 3: Cross multiply
    865.38x = 1,298.07 × 784.38
  4. Step 4: Simplify right side
    865.38x = 1,018,180.15
  5. Step 5: Solve for x
    x = 1,018,180.15/865.38
  6. Step 6: Final answer
    x = 1,176.57

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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.