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Finding the Fourth Proportional to 790.23, 1,090.65 and 458.74

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Solution

The fourth proportional to 790.23, 1,090.65 and 458.74 is: 633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.23 : 1,090.65 = 458.74 : x
  2. Step 2: Convert to fraction form
    790.23/1,090.65 = 458.74/x
  3. Step 3: Cross multiply
    790.23x = 1,090.65 × 458.74
  4. Step 4: Simplify right side
    790.23x = 500,319.33
  5. Step 5: Solve for x
    x = 500,319.33/790.23
  6. Step 6: Final answer
    x = 633.14

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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.