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Finding the Fourth Proportional to 783.24, 1,174.80 and 296.30

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Solution

The fourth proportional to 783.24, 1,174.80 and 296.30 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.24 : 1,174.80 = 296.30 : x
  2. Step 2: Convert to fraction form
    783.24/1,174.80 = 296.30/x
  3. Step 3: Cross multiply
    783.24x = 1,174.80 × 296.30
  4. Step 4: Simplify right side
    783.24x = 348,093.24
  5. Step 5: Solve for x
    x = 348,093.24/783.24
  6. Step 6: Final answer
    x = 444.43

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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.