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Finding the Fourth Proportional to 835.93, 1,252.77 and 397.11

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Solution

The fourth proportional to 835.93, 1,252.77 and 397.11 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.93 : 1,252.77 = 397.11 : x
  2. Step 2: Convert to fraction form
    835.93/1,252.77 = 397.11/x
  3. Step 3: Cross multiply
    835.93x = 1,252.77 × 397.11
  4. Step 4: Simplify right side
    835.93x = 497,490.70
  5. Step 5: Solve for x
    x = 497,490.70/835.93
  6. Step 6: Final answer
    x = 595.13

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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.