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Finding the Fourth Proportional to 1,376.50, 2,064.74 and 336.51

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Solution

The fourth proportional to 1,376.50, 2,064.74 and 336.51 is: 504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.50 : 2,064.74 = 336.51 : x
  2. Step 2: Convert to fraction form
    1,376.50/2,064.74 = 336.51/x
  3. Step 3: Cross multiply
    1,376.50x = 2,064.74 × 336.51
  4. Step 4: Simplify right side
    1,376.50x = 694,798.17
  5. Step 5: Solve for x
    x = 694,798.17/1,376.50
  6. Step 6: Final answer
    x = 504.76

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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.