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Finding the Fourth Proportional to 845.64, 1,162.92 and 735.24

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Solution

The fourth proportional to 845.64, 1,162.92 and 735.24 is: 1,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.64 : 1,162.92 = 735.24 : x
  2. Step 2: Convert to fraction form
    845.64/1,162.92 = 735.24/x
  3. Step 3: Cross multiply
    845.64x = 1,162.92 × 735.24
  4. Step 4: Simplify right side
    845.64x = 855,025.30
  5. Step 5: Solve for x
    x = 855,025.30/845.64
  6. Step 6: Final answer
    x = 1,011.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.