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Finding the Fourth Proportional to 797.71, 1,195.48 and 590.62

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Solution

The fourth proportional to 797.71, 1,195.48 and 590.62 is: 885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.71 : 1,195.48 = 590.62 : x
  2. Step 2: Convert to fraction form
    797.71/1,195.48 = 590.62/x
  3. Step 3: Cross multiply
    797.71x = 1,195.48 × 590.62
  4. Step 4: Simplify right side
    797.71x = 706,074.40
  5. Step 5: Solve for x
    x = 706,074.40/797.71
  6. Step 6: Final answer
    x = 885.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.