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Finding the Fourth Proportional to 835.03, 1,252.65 and 257.91

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Solution

The fourth proportional to 835.03, 1,252.65 and 257.91 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.03 : 1,252.65 = 257.91 : x
  2. Step 2: Convert to fraction form
    835.03/1,252.65 = 257.91/x
  3. Step 3: Cross multiply
    835.03x = 1,252.65 × 257.91
  4. Step 4: Simplify right side
    835.03x = 323,065.78
  5. Step 5: Solve for x
    x = 323,065.78/835.03
  6. Step 6: Final answer
    x = 386.89

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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.