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Finding the Fourth Proportional to 1,349.56, 2,024.37 and 375.67

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Solution

The fourth proportional to 1,349.56, 2,024.37 and 375.67 is: 563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.56 : 2,024.37 = 375.67 : x
  2. Step 2: Convert to fraction form
    1,349.56/2,024.37 = 375.67/x
  3. Step 3: Cross multiply
    1,349.56x = 2,024.37 × 375.67
  4. Step 4: Simplify right side
    1,349.56x = 760,495.08
  5. Step 5: Solve for x
    x = 760,495.08/1,349.56
  6. Step 6: Final answer
    x = 563.51

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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.