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Finding the Fourth Proportional to 1,141.02, 1,711.17 and 319.23

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Solution

The fourth proportional to 1,141.02, 1,711.17 and 319.23 is: 478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.02 : 1,711.17 = 319.23 : x
  2. Step 2: Convert to fraction form
    1,141.02/1,711.17 = 319.23/x
  3. Step 3: Cross multiply
    1,141.02x = 1,711.17 × 319.23
  4. Step 4: Simplify right side
    1,141.02x = 546,256.80
  5. Step 5: Solve for x
    x = 546,256.80/1,141.02
  6. Step 6: Final answer
    x = 478.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.