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Finding the Fourth Proportional to 790.02, 1,090.43 and 458.40

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Solution

The fourth proportional to 790.02, 1,090.43 and 458.40 is: 632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.02 : 1,090.43 = 458.40 : x
  2. Step 2: Convert to fraction form
    790.02/1,090.43 = 458.40/x
  3. Step 3: Cross multiply
    790.02x = 1,090.43 × 458.40
  4. Step 4: Simplify right side
    790.02x = 499,850.82
  5. Step 5: Solve for x
    x = 499,850.82/790.02
  6. Step 6: Final answer
    x = 632.71

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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.