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Finding the Fourth Proportional to 789.99, 1,090.17 and 458.40

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Solution

The fourth proportional to 789.99, 1,090.17 and 458.40 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.99 : 1,090.17 = 458.40 : x
  2. Step 2: Convert to fraction form
    789.99/1,090.17 = 458.40/x
  3. Step 3: Cross multiply
    789.99x = 1,090.17 × 458.40
  4. Step 4: Simplify right side
    789.99x = 499,733.93
  5. Step 5: Solve for x
    x = 499,733.93/789.99
  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.