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Finding the Fourth Proportional to 835.29, 1,152.69 and 462.25

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Solution

The fourth proportional to 835.29, 1,152.69 and 462.25 is: 637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.29 : 1,152.69 = 462.25 : x
  2. Step 2: Convert to fraction form
    835.29/1,152.69 = 462.25/x
  3. Step 3: Cross multiply
    835.29x = 1,152.69 × 462.25
  4. Step 4: Simplify right side
    835.29x = 532,828.50
  5. Step 5: Solve for x
    x = 532,828.50/835.29
  6. Step 6: Final answer
    x = 637.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.