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Finding the Fourth Proportional to 845.53, 1,166.60 and 472.47

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Solution

The fourth proportional to 845.53, 1,166.60 and 472.47 is: 651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.53 : 1,166.60 = 472.47 : x
  2. Step 2: Convert to fraction form
    845.53/1,166.60 = 472.47/x
  3. Step 3: Cross multiply
    845.53x = 1,166.60 × 472.47
  4. Step 4: Simplify right side
    845.53x = 551,185.23
  5. Step 5: Solve for x
    x = 551,185.23/845.53
  6. Step 6: Final answer
    x = 651.88

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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.