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Finding the Fourth Proportional to 845.72, 1,166.13 and 687.92

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Solution

The fourth proportional to 845.72, 1,166.13 and 687.92 is: 948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.72 : 1,166.13 = 687.92 : x
  2. Step 2: Convert to fraction form
    845.72/1,166.13 = 687.92/x
  3. Step 3: Cross multiply
    845.72x = 1,166.13 × 687.92
  4. Step 4: Simplify right side
    845.72x = 802,204.15
  5. Step 5: Solve for x
    x = 802,204.15/845.72
  6. Step 6: Final answer
    x = 948.55

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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.