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Finding the Fourth Proportional to 1,047.35, 1,571.23 and 306.96

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Solution

The fourth proportional to 1,047.35, 1,571.23 and 306.96 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.35 : 1,571.23 = 306.96 : x
  2. Step 2: Convert to fraction form
    1,047.35/1,571.23 = 306.96/x
  3. Step 3: Cross multiply
    1,047.35x = 1,571.23 × 306.96
  4. Step 4: Simplify right side
    1,047.35x = 482,299.25
  5. Step 5: Solve for x
    x = 482,299.25/1,047.35
  6. Step 6: Final answer
    x = 460.49

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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.