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Finding the Fourth Proportional to 619.98, 853.86 and 537.06

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Solution

The fourth proportional to 619.98, 853.86 and 537.06 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.98 : 853.86 = 537.06 : x
  2. Step 2: Convert to fraction form
    619.98/853.86 = 537.06/x
  3. Step 3: Cross multiply
    619.98x = 853.86 × 537.06
  4. Step 4: Simplify right side
    619.98x = 458,574.05
  5. Step 5: Solve for x
    x = 458,574.05/619.98
  6. Step 6: Final answer
    x = 739.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.