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Finding the Fourth Proportional to 790.32, 1,183.16 and 723.76

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Solution

The fourth proportional to 790.32, 1,183.16 and 723.76 is: 1,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.32 : 1,183.16 = 723.76 : x
  2. Step 2: Convert to fraction form
    790.32/1,183.16 = 723.76/x
  3. Step 3: Cross multiply
    790.32x = 1,183.16 × 723.76
  4. Step 4: Simplify right side
    790.32x = 856,323.88
  5. Step 5: Solve for x
    x = 856,323.88/790.32
  6. Step 6: Final answer
    x = 1,083.52

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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.