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Finding the Fourth Proportional to 782.84, 1,174.57 and 296.02

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Solution

The fourth proportional to 782.84, 1,174.57 and 296.02 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.84 : 1,174.57 = 296.02 : x
  2. Step 2: Convert to fraction form
    782.84/1,174.57 = 296.02/x
  3. Step 3: Cross multiply
    782.84x = 1,174.57 × 296.02
  4. Step 4: Simplify right side
    782.84x = 347,696.21
  5. Step 5: Solve for x
    x = 347,696.21/782.84
  6. Step 6: Final answer
    x = 444.15

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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.