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Finding the Fourth Proportional to 782.07, 1,173.06 and 319.74

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Solution

The fourth proportional to 782.07, 1,173.06 and 319.74 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,173.06 = 319.74 : x
  2. Step 2: Convert to fraction form
    782.07/1,173.06 = 319.74/x
  3. Step 3: Cross multiply
    782.07x = 1,173.06 × 319.74
  4. Step 4: Simplify right side
    782.07x = 375,074.20
  5. Step 5: Solve for x
    x = 375,074.20/782.07
  6. Step 6: Final answer
    x = 479.59

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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.