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Finding the Fourth Proportional to 1,529.50, 2,294.25 and 375.25

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Solution

The fourth proportional to 1,529.50, 2,294.25 and 375.25 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.50 : 2,294.25 = 375.25 : x
  2. Step 2: Convert to fraction form
    1,529.50/2,294.25 = 375.25/x
  3. Step 3: Cross multiply
    1,529.50x = 2,294.25 × 375.25
  4. Step 4: Simplify right side
    1,529.50x = 860,917.31
  5. Step 5: Solve for x
    x = 860,917.31/1,529.50
  6. Step 6: Final answer
    x = 562.88

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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.