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Finding the Fourth Proportional to 790.16, 1,090.47 and 458.69

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Solution

The fourth proportional to 790.16, 1,090.47 and 458.69 is: 633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.16 : 1,090.47 = 458.69 : x
  2. Step 2: Convert to fraction form
    790.16/1,090.47 = 458.69/x
  3. Step 3: Cross multiply
    790.16x = 1,090.47 × 458.69
  4. Step 4: Simplify right side
    790.16x = 500,187.68
  5. Step 5: Solve for x
    x = 500,187.68/790.16
  6. Step 6: Final answer
    x = 633.02

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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.