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Finding the Fourth Proportional to 790.92, 1,091.16 and 459.30

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Solution

The fourth proportional to 790.92, 1,091.16 and 459.30 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.92 : 1,091.16 = 459.30 : x
  2. Step 2: Convert to fraction form
    790.92/1,091.16 = 459.30/x
  3. Step 3: Cross multiply
    790.92x = 1,091.16 × 459.30
  4. Step 4: Simplify right side
    790.92x = 501,169.79
  5. Step 5: Solve for x
    x = 501,169.79/790.92
  6. Step 6: Final answer
    x = 633.65

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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.