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Finding the Fourth Proportional to 882, 1,322.38 and 413.20

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Solution

The fourth proportional to 882, 1,322.38 and 413.20 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    882 : 1,322.38 = 413.20 : x
  2. Step 2: Convert to fraction form
    882/1,322.38 = 413.20/x
  3. Step 3: Cross multiply
    882x = 1,322.38 × 413.20
  4. Step 4: Simplify right side
    882x = 546,407.42
  5. Step 5: Solve for x
    x = 546,407.42/882
  6. Step 6: Final answer
    x = 619.51

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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.