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Finding the Fourth Proportional to 882.35, 1,323.96 and 624.02

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Solution

The fourth proportional to 882.35, 1,323.96 and 624.02 is: 936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.35 : 1,323.96 = 624.02 : x
  2. Step 2: Convert to fraction form
    882.35/1,323.96 = 624.02/x
  3. Step 3: Cross multiply
    882.35x = 1,323.96 × 624.02
  4. Step 4: Simplify right side
    882.35x = 826,173.24
  5. Step 5: Solve for x
    x = 826,173.24/882.35
  6. Step 6: Final answer
    x = 936.33

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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.