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Finding the Fourth Proportional to 789.96, 1,090.34 and 510.51

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Solution

The fourth proportional to 789.96, 1,090.34 and 510.51 is: 704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.96 : 1,090.34 = 510.51 : x
  2. Step 2: Convert to fraction form
    789.96/1,090.34 = 510.51/x
  3. Step 3: Cross multiply
    789.96x = 1,090.34 × 510.51
  4. Step 4: Simplify right side
    789.96x = 556,629.47
  5. Step 5: Solve for x
    x = 556,629.47/789.96
  6. Step 6: Final answer
    x = 704.63

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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.