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Finding the Fourth Proportional to 1,446.42, 2,170.38 and 715.98

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Solution

The fourth proportional to 1,446.42, 2,170.38 and 715.98 is: 1,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.42 : 2,170.38 = 715.98 : x
  2. Step 2: Convert to fraction form
    1,446.42/2,170.38 = 715.98/x
  3. Step 3: Cross multiply
    1,446.42x = 2,170.38 × 715.98
  4. Step 4: Simplify right side
    1,446.42x = 1,553,948.67
  5. Step 5: Solve for x
    x = 1,553,948.67/1,446.42
  6. Step 6: Final answer
    x = 1,074.34

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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.