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Finding the Fourth Proportional to 1,374.97, 2,061.09 and 643.24

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Solution

The fourth proportional to 1,374.97, 2,061.09 and 643.24 is: 964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.97 : 2,061.09 = 643.24 : x
  2. Step 2: Convert to fraction form
    1,374.97/2,061.09 = 643.24/x
  3. Step 3: Cross multiply
    1,374.97x = 2,061.09 × 643.24
  4. Step 4: Simplify right side
    1,374.97x = 1,325,762.01
  5. Step 5: Solve for x
    x = 1,325,762.01/1,374.97
  6. Step 6: Final answer
    x = 964.21

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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.