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Finding the Fourth Proportional to 790.68, 1,091.24 and 459.28

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Solution

The fourth proportional to 790.68, 1,091.24 and 459.28 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.68 : 1,091.24 = 459.28 : x
  2. Step 2: Convert to fraction form
    790.68/1,091.24 = 459.28/x
  3. Step 3: Cross multiply
    790.68x = 1,091.24 × 459.28
  4. Step 4: Simplify right side
    790.68x = 501,184.71
  5. Step 5: Solve for x
    x = 501,184.71/790.68
  6. Step 6: Final answer
    x = 633.87

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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.