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Finding the Fourth Proportional to 783.63, 1,174.52 and 296.21

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Solution

The fourth proportional to 783.63, 1,174.52 and 296.21 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.63 : 1,174.52 = 296.21 : x
  2. Step 2: Convert to fraction form
    783.63/1,174.52 = 296.21/x
  3. Step 3: Cross multiply
    783.63x = 1,174.52 × 296.21
  4. Step 4: Simplify right side
    783.63x = 347,897.22
  5. Step 5: Solve for x
    x = 347,897.22/783.63
  6. Step 6: Final answer
    x = 443.96

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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.