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Finding the Fourth Proportional to 1,463.74, 2,020.01 and 874.62

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Solution

The fourth proportional to 1,463.74, 2,020.01 and 874.62 is: 1,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.74 : 2,020.01 = 874.62 : x
  2. Step 2: Convert to fraction form
    1,463.74/2,020.01 = 874.62/x
  3. Step 3: Cross multiply
    1,463.74x = 2,020.01 × 874.62
  4. Step 4: Simplify right side
    1,463.74x = 1,766,736.77
  5. Step 5: Solve for x
    x = 1,766,736.77/1,463.74
  6. Step 6: Final answer
    x = 1,207.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.