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Finding the Fourth Proportional to 797.68, 1,101 and 590.32

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Solution

The fourth proportional to 797.68, 1,101 and 590.32 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.68 : 1,101 = 590.32 : x
  2. Step 2: Convert to fraction form
    797.68/1,101 = 590.32/x
  3. Step 3: Cross multiply
    797.68x = 1,101 × 590.32
  4. Step 4: Simplify right side
    797.68x = 649,942.32
  5. Step 5: Solve for x
    x = 649,942.32/797.68
  6. Step 6: Final answer
    x = 814.79

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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.