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Finding the Fourth Proportional to 795.40, 1,194.45 and 590.20

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Solution

The fourth proportional to 795.40, 1,194.45 and 590.20 is: 886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.40 : 1,194.45 = 590.20 : x
  2. Step 2: Convert to fraction form
    795.40/1,194.45 = 590.20/x
  3. Step 3: Cross multiply
    795.40x = 1,194.45 × 590.20
  4. Step 4: Simplify right side
    795.40x = 704,964.39
  5. Step 5: Solve for x
    x = 704,964.39/795.40
  6. Step 6: Final answer
    x = 886.30

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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.