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Finding the Fourth Proportional to 845.04, 1,266.48 and 824.16

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Solution

The fourth proportional to 845.04, 1,266.48 and 824.16 is: 1,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.04 : 1,266.48 = 824.16 : x
  2. Step 2: Convert to fraction form
    845.04/1,266.48 = 824.16/x
  3. Step 3: Cross multiply
    845.04x = 1,266.48 × 824.16
  4. Step 4: Simplify right side
    845.04x = 1,043,782.16
  5. Step 5: Solve for x
    x = 1,043,782.16/845.04
  6. Step 6: Final answer
    x = 1,235.19

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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.