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Finding the Fourth Proportional to 835.95, 1,252.54 and 591.26

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Solution

The fourth proportional to 835.95, 1,252.54 and 591.26 is: 885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.95 : 1,252.54 = 591.26 : x
  2. Step 2: Convert to fraction form
    835.95/1,252.54 = 591.26/x
  3. Step 3: Cross multiply
    835.95x = 1,252.54 × 591.26
  4. Step 4: Simplify right side
    835.95x = 740,573.84
  5. Step 5: Solve for x
    x = 740,573.84/835.95
  6. Step 6: Final answer
    x = 885.91

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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.