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Finding the Fourth Proportional to 1,446.93, 2,170.67 and 522.59

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Solution

The fourth proportional to 1,446.93, 2,170.67 and 522.59 is: 783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.93 : 2,170.67 = 522.59 : x
  2. Step 2: Convert to fraction form
    1,446.93/2,170.67 = 522.59/x
  3. Step 3: Cross multiply
    1,446.93x = 2,170.67 × 522.59
  4. Step 4: Simplify right side
    1,446.93x = 1,134,356.97
  5. Step 5: Solve for x
    x = 1,134,356.97/1,446.93
  6. Step 6: Final answer
    x = 783.98

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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.