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Finding the Fourth Proportional to 838.10, 1,256.03 and 653.22

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Solution

The fourth proportional to 838.10, 1,256.03 and 653.22 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.10 : 1,256.03 = 653.22 : x
  2. Step 2: Convert to fraction form
    838.10/1,256.03 = 653.22/x
  3. Step 3: Cross multiply
    838.10x = 1,256.03 × 653.22
  4. Step 4: Simplify right side
    838.10x = 820,463.92
  5. Step 5: Solve for x
    x = 820,463.92/838.10
  6. Step 6: Final answer
    x = 978.96

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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.