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Finding the Fourth Proportional to 1,447.41, 2,171.13 and 522.93

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Solution

The fourth proportional to 1,447.41, 2,171.13 and 522.93 is: 784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.41 : 2,171.13 = 522.93 : x
  2. Step 2: Convert to fraction form
    1,447.41/2,171.13 = 522.93/x
  3. Step 3: Cross multiply
    1,447.41x = 2,171.13 × 522.93
  4. Step 4: Simplify right side
    1,447.41x = 1,135,349.01
  5. Step 5: Solve for x
    x = 1,135,349.01/1,447.41
  6. Step 6: Final answer
    x = 784.40

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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.