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Finding the Fourth Proportional to 783.28, 1,174.47 and 296.02

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Solution

The fourth proportional to 783.28, 1,174.47 and 296.02 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.28 : 1,174.47 = 296.02 : x
  2. Step 2: Convert to fraction form
    783.28/1,174.47 = 296.02/x
  3. Step 3: Cross multiply
    783.28x = 1,174.47 × 296.02
  4. Step 4: Simplify right side
    783.28x = 347,666.61
  5. Step 5: Solve for x
    x = 347,666.61/783.28
  6. Step 6: Final answer
    x = 443.86

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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.