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Finding the Fourth Proportional to 798.01, 1,194.68 and 593.48

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Solution

The fourth proportional to 798.01, 1,194.68 and 593.48 is: 888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.01 : 1,194.68 = 593.48 : x
  2. Step 2: Convert to fraction form
    798.01/1,194.68 = 593.48/x
  3. Step 3: Cross multiply
    798.01x = 1,194.68 × 593.48
  4. Step 4: Simplify right side
    798.01x = 709,023.16
  5. Step 5: Solve for x
    x = 709,023.16/798.01
  6. Step 6: Final answer
    x = 888.49

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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.