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Finding the Fourth Proportional to 1,376.82, 2,064.24 and 645.99

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Solution

The fourth proportional to 1,376.82, 2,064.24 and 645.99 is: 968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.82 : 2,064.24 = 645.99 : x
  2. Step 2: Convert to fraction form
    1,376.82/2,064.24 = 645.99/x
  3. Step 3: Cross multiply
    1,376.82x = 2,064.24 × 645.99
  4. Step 4: Simplify right side
    1,376.82x = 1,333,478.40
  5. Step 5: Solve for x
    x = 1,333,478.40/1,376.82
  6. Step 6: Final answer
    x = 968.52

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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.