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Finding the Fourth Proportional to 882.86, 1,323.57 and 369.50

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Solution

The fourth proportional to 882.86, 1,323.57 and 369.50 is: 553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.86 : 1,323.57 = 369.50 : x
  2. Step 2: Convert to fraction form
    882.86/1,323.57 = 369.50/x
  3. Step 3: Cross multiply
    882.86x = 1,323.57 × 369.50
  4. Step 4: Simplify right side
    882.86x = 489,059.12
  5. Step 5: Solve for x
    x = 489,059.12/882.86
  6. Step 6: Final answer
    x = 553.95

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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.