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Finding the Fourth Proportional to 1,446.71, 2,169.61 and 522.14

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Solution

The fourth proportional to 1,446.71, 2,169.61 and 522.14 is: 783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.71 : 2,169.61 = 522.14 : x
  2. Step 2: Convert to fraction form
    1,446.71/2,169.61 = 522.14/x
  3. Step 3: Cross multiply
    1,446.71x = 2,169.61 × 522.14
  4. Step 4: Simplify right side
    1,446.71x = 1,132,837.55
  5. Step 5: Solve for x
    x = 1,132,837.55/1,446.71
  6. Step 6: Final answer
    x = 783.05

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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.