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Finding the Fourth Proportional to 796.47, 1,098.14 and 575.34

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Solution

The fourth proportional to 796.47, 1,098.14 and 575.34 is: 793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.47 : 1,098.14 = 575.34 : x
  2. Step 2: Convert to fraction form
    796.47/1,098.14 = 575.34/x
  3. Step 3: Cross multiply
    796.47x = 1,098.14 × 575.34
  4. Step 4: Simplify right side
    796.47x = 631,803.87
  5. Step 5: Solve for x
    x = 631,803.87/796.47
  6. Step 6: Final answer
    x = 793.26

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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.