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Finding the Fourth Proportional to 1,141.34, 1,711.87 and 319.53

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Solution

The fourth proportional to 1,141.34, 1,711.87 and 319.53 is: 479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.34 : 1,711.87 = 319.53 : x
  2. Step 2: Convert to fraction form
    1,141.34/1,711.87 = 319.53/x
  3. Step 3: Cross multiply
    1,141.34x = 1,711.87 × 319.53
  4. Step 4: Simplify right side
    1,141.34x = 546,993.02
  5. Step 5: Solve for x
    x = 546,993.02/1,141.34
  6. Step 6: Final answer
    x = 479.26

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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.