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Finding the Fourth Proportional to 845.49, 1,166.23 and 561.93

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Solution

The fourth proportional to 845.49, 1,166.23 and 561.93 is: 775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.49 : 1,166.23 = 561.93 : x
  2. Step 2: Convert to fraction form
    845.49/1,166.23 = 561.93/x
  3. Step 3: Cross multiply
    845.49x = 1,166.23 × 561.93
  4. Step 4: Simplify right side
    845.49x = 655,339.62
  5. Step 5: Solve for x
    x = 655,339.62/845.49
  6. Step 6: Final answer
    x = 775.10

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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.