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Finding the Fourth Proportional to 782.81, 1,173.54 and 296.21

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Solution

The fourth proportional to 782.81, 1,173.54 and 296.21 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,173.54 = 296.21 : x
  2. Step 2: Convert to fraction form
    782.81/1,173.54 = 296.21/x
  3. Step 3: Cross multiply
    782.81x = 1,173.54 × 296.21
  4. Step 4: Simplify right side
    782.81x = 347,610.06
  5. Step 5: Solve for x
    x = 347,610.06/782.81
  6. Step 6: Final answer
    x = 444.05

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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.