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Finding the Fourth Proportional to 835.50, 1,253.79 and 322.50

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Solution

The fourth proportional to 835.50, 1,253.79 and 322.50 is: 483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.50 : 1,253.79 = 322.50 : x
  2. Step 2: Convert to fraction form
    835.50/1,253.79 = 322.50/x
  3. Step 3: Cross multiply
    835.50x = 1,253.79 × 322.50
  4. Step 4: Simplify right side
    835.50x = 404,347.28
  5. Step 5: Solve for x
    x = 404,347.28/835.50
  6. Step 6: Final answer
    x = 483.96

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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.