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Finding the Fourth Proportional to 790.26, 1,090.26 and 458.52

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Solution

The fourth proportional to 790.26, 1,090.26 and 458.52 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.26 : 1,090.26 = 458.52 : x
  2. Step 2: Convert to fraction form
    790.26/1,090.26 = 458.52/x
  3. Step 3: Cross multiply
    790.26x = 1,090.26 × 458.52
  4. Step 4: Simplify right side
    790.26x = 499,906.02
  5. Step 5: Solve for x
    x = 499,906.02/790.26
  6. Step 6: Final answer
    x = 632.58

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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.