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Finding the Fourth Proportional to 620.30, 837 and 620.30

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Solution

The fourth proportional to 620.30, 837 and 620.30 is: 837

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.30 : 837 = 620.30 : x
  2. Step 2: Convert to fraction form
    620.30/837 = 620.30/x
  3. Step 3: Cross multiply
    620.30x = 837 × 620.30
  4. Step 4: Simplify right side
    620.30x = 519,191.10
  5. Step 5: Solve for x
    x = 519,191.10/620.30
  6. Step 6: Final answer
    x = 837

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.