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Finding the Fourth Proportional to 790.12, 1,090.10 and 458.42

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Solution

The fourth proportional to 790.12, 1,090.10 and 458.42 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.12 : 1,090.10 = 458.42 : x
  2. Step 2: Convert to fraction form
    790.12/1,090.10 = 458.42/x
  3. Step 3: Cross multiply
    790.12x = 1,090.10 × 458.42
  4. Step 4: Simplify right side
    790.12x = 499,723.64
  5. Step 5: Solve for x
    x = 499,723.64/790.12
  6. Step 6: Final answer
    x = 632.47

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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.