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Finding the Fourth Proportional to 820.61, 1,131.52 and 670.76

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Solution

The fourth proportional to 820.61, 1,131.52 and 670.76 is: 924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.61 : 1,131.52 = 670.76 : x
  2. Step 2: Convert to fraction form
    820.61/1,131.52 = 670.76/x
  3. Step 3: Cross multiply
    820.61x = 1,131.52 × 670.76
  4. Step 4: Simplify right side
    820.61x = 758,978.25
  5. Step 5: Solve for x
    x = 758,978.25/820.61
  6. Step 6: Final answer
    x = 924.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.