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Finding the Fourth Proportional to 783.19, 1,174.80 and 227.94

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Solution

The fourth proportional to 783.19, 1,174.80 and 227.94 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.19 : 1,174.80 = 227.94 : x
  2. Step 2: Convert to fraction form
    783.19/1,174.80 = 227.94/x
  3. Step 3: Cross multiply
    783.19x = 1,174.80 × 227.94
  4. Step 4: Simplify right side
    783.19x = 267,779.81
  5. Step 5: Solve for x
    x = 267,779.81/783.19
  6. Step 6: Final answer
    x = 341.91

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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.