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Finding the Fourth Proportional to 835.04, 1,252.55 and 257.92

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Solution

The fourth proportional to 835.04, 1,252.55 and 257.92 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.04 : 1,252.55 = 257.92 : x
  2. Step 2: Convert to fraction form
    835.04/1,252.55 = 257.92/x
  3. Step 3: Cross multiply
    835.04x = 1,252.55 × 257.92
  4. Step 4: Simplify right side
    835.04x = 323,055.21
  5. Step 5: Solve for x
    x = 323,055.21/835.04
  6. Step 6: Final answer
    x = 386.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.