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Finding the Fourth Proportional to 845.03, 1,166.16 and 491.06

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Solution

The fourth proportional to 845.03, 1,166.16 and 491.06 is: 677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.03 : 1,166.16 = 491.06 : x
  2. Step 2: Convert to fraction form
    845.03/1,166.16 = 491.06/x
  3. Step 3: Cross multiply
    845.03x = 1,166.16 × 491.06
  4. Step 4: Simplify right side
    845.03x = 572,659.29
  5. Step 5: Solve for x
    x = 572,659.29/845.03
  6. Step 6: Final answer
    x = 677.68

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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.