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Finding the Fourth Proportional to 845.57, 1,166.87 and 472.56

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Solution

The fourth proportional to 845.57, 1,166.87 and 472.56 is: 652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.57 : 1,166.87 = 472.56 : x
  2. Step 2: Convert to fraction form
    845.57/1,166.87 = 472.56/x
  3. Step 3: Cross multiply
    845.57x = 1,166.87 × 472.56
  4. Step 4: Simplify right side
    845.57x = 551,416.09
  5. Step 5: Solve for x
    x = 551,416.09/845.57
  6. Step 6: Final answer
    x = 652.12

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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.