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Finding the Fourth Proportional to 1,447.13, 2,170.02 and 522.57

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Solution

The fourth proportional to 1,447.13, 2,170.02 and 522.57 is: 783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.13 : 2,170.02 = 522.57 : x
  2. Step 2: Convert to fraction form
    1,447.13/2,170.02 = 522.57/x
  3. Step 3: Cross multiply
    1,447.13x = 2,170.02 × 522.57
  4. Step 4: Simplify right side
    1,447.13x = 1,133,985.24
  5. Step 5: Solve for x
    x = 1,133,985.24/1,447.13
  6. Step 6: Final answer
    x = 783.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.