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Finding the Fourth Proportional to 790.42, 1,090.77 and 459.04

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Solution

The fourth proportional to 790.42, 1,090.77 and 459.04 is: 633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.42 : 1,090.77 = 459.04 : x
  2. Step 2: Convert to fraction form
    790.42/1,090.77 = 459.04/x
  3. Step 3: Cross multiply
    790.42x = 1,090.77 × 459.04
  4. Step 4: Simplify right side
    790.42x = 500,707.06
  5. Step 5: Solve for x
    x = 500,707.06/790.42
  6. Step 6: Final answer
    x = 633.47

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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.