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Finding the Fourth Proportional to 1,412.73, 2,119.05 and 643.23

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Solution

The fourth proportional to 1,412.73, 2,119.05 and 643.23 is: 964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.73 : 2,119.05 = 643.23 : x
  2. Step 2: Convert to fraction form
    1,412.73/2,119.05 = 643.23/x
  3. Step 3: Cross multiply
    1,412.73x = 2,119.05 × 643.23
  4. Step 4: Simplify right side
    1,412.73x = 1,363,036.53
  5. Step 5: Solve for x
    x = 1,363,036.53/1,412.73
  6. Step 6: Final answer
    x = 964.82

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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.