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Finding the Fourth Proportional to 845.02, 1,265.02 and 825.13

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Solution

The fourth proportional to 845.02, 1,265.02 and 825.13 is: 1,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.02 : 1,265.02 = 825.13 : x
  2. Step 2: Convert to fraction form
    845.02/1,265.02 = 825.13/x
  3. Step 3: Cross multiply
    845.02x = 1,265.02 × 825.13
  4. Step 4: Simplify right side
    845.02x = 1,043,805.95
  5. Step 5: Solve for x
    x = 1,043,805.95/845.02
  6. Step 6: Final answer
    x = 1,235.24

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Why These Related Problems?

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