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Finding the Fourth Proportional to 845.52, 1,166.08 and 678.72

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Solution

The fourth proportional to 845.52, 1,166.08 and 678.72 is: 936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.52 : 1,166.08 = 678.72 : x
  2. Step 2: Convert to fraction form
    845.52/1,166.08 = 678.72/x
  3. Step 3: Cross multiply
    845.52x = 1,166.08 × 678.72
  4. Step 4: Simplify right side
    845.52x = 791,441.82
  5. Step 5: Solve for x
    x = 791,441.82/845.52
  6. Step 6: Final answer
    x = 936.04

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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.