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Finding the Fourth Proportional to 835.58, 1,252.02 and 589.22

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Solution

The fourth proportional to 835.58, 1,252.02 and 589.22 is: 882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.58 : 1,252.02 = 589.22 : x
  2. Step 2: Convert to fraction form
    835.58/1,252.02 = 589.22/x
  3. Step 3: Cross multiply
    835.58x = 1,252.02 × 589.22
  4. Step 4: Simplify right side
    835.58x = 737,715.22
  5. Step 5: Solve for x
    x = 737,715.22/835.58
  6. Step 6: Final answer
    x = 882.88

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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.