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Finding the Fourth Proportional to 853.74, 1,277.86 and 442.31

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Solution

The fourth proportional to 853.74, 1,277.86 and 442.31 is: 662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,277.86 = 442.31 : x
  2. Step 2: Convert to fraction form
    853.74/1,277.86 = 442.31/x
  3. Step 3: Cross multiply
    853.74x = 1,277.86 × 442.31
  4. Step 4: Simplify right side
    853.74x = 565,210.26
  5. Step 5: Solve for x
    x = 565,210.26/853.74
  6. Step 6: Final answer
    x = 662.04

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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.