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Finding the Fourth Proportional to 845.19, 1,265.79 and 584.22

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Solution

The fourth proportional to 845.19, 1,265.79 and 584.22 is: 874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.19 : 1,265.79 = 584.22 : x
  2. Step 2: Convert to fraction form
    845.19/1,265.79 = 584.22/x
  3. Step 3: Cross multiply
    845.19x = 1,265.79 × 584.22
  4. Step 4: Simplify right side
    845.19x = 739,499.83
  5. Step 5: Solve for x
    x = 739,499.83/845.19
  6. Step 6: Final answer
    x = 874.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.