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Finding the Fourth Proportional to 835.61, 1,252.37 and 465.53

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Solution

The fourth proportional to 835.61, 1,252.37 and 465.53 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.61 : 1,252.37 = 465.53 : x
  2. Step 2: Convert to fraction form
    835.61/1,252.37 = 465.53/x
  3. Step 3: Cross multiply
    835.61x = 1,252.37 × 465.53
  4. Step 4: Simplify right side
    835.61x = 583,010.71
  5. Step 5: Solve for x
    x = 583,010.71/835.61
  6. Step 6: Final answer
    x = 697.71

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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.