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Finding the Fourth Proportional to 1,410.56, 2,115.82 and 370.64

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Solution

The fourth proportional to 1,410.56, 2,115.82 and 370.64 is: 555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.56 : 2,115.82 = 370.64 : x
  2. Step 2: Convert to fraction form
    1,410.56/2,115.82 = 370.64/x
  3. Step 3: Cross multiply
    1,410.56x = 2,115.82 × 370.64
  4. Step 4: Simplify right side
    1,410.56x = 784,213.28
  5. Step 5: Solve for x
    x = 784,213.28/1,410.56
  6. Step 6: Final answer
    x = 555.96

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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.