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Finding the Fourth Proportional to 790.79, 1,091.32 and 459.14

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Solution

The fourth proportional to 790.79, 1,091.32 and 459.14 is: 633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.79 : 1,091.32 = 459.14 : x
  2. Step 2: Convert to fraction form
    790.79/1,091.32 = 459.14/x
  3. Step 3: Cross multiply
    790.79x = 1,091.32 × 459.14
  4. Step 4: Simplify right side
    790.79x = 501,070.25
  5. Step 5: Solve for x
    x = 501,070.25/790.79
  6. Step 6: Final answer
    x = 633.64

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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.