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Finding the Fourth Proportional to 845.86, 1,167.55 and 491.89

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Solution

The fourth proportional to 845.86, 1,167.55 and 491.89 is: 678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.86 : 1,167.55 = 491.89 : x
  2. Step 2: Convert to fraction form
    845.86/1,167.55 = 491.89/x
  3. Step 3: Cross multiply
    845.86x = 1,167.55 × 491.89
  4. Step 4: Simplify right side
    845.86x = 574,304.21
  5. Step 5: Solve for x
    x = 574,304.21/845.86
  6. Step 6: Final answer
    x = 678.96

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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.