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Finding the Fourth Proportional to 782.80, 1,173.12 and 590.20

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Solution

The fourth proportional to 782.80, 1,173.12 and 590.20 is: 884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.80 : 1,173.12 = 590.20 : x
  2. Step 2: Convert to fraction form
    782.80/1,173.12 = 590.20/x
  3. Step 3: Cross multiply
    782.80x = 1,173.12 × 590.20
  4. Step 4: Simplify right side
    782.80x = 692,375.42
  5. Step 5: Solve for x
    x = 692,375.42/782.80
  6. Step 6: Final answer
    x = 884.49

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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.