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Finding the Fourth Proportional to 1,282.34, 1,922.54 and 705.38

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Solution

The fourth proportional to 1,282.34, 1,922.54 and 705.38 is: 1,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.34 : 1,922.54 = 705.38 : x
  2. Step 2: Convert to fraction form
    1,282.34/1,922.54 = 705.38/x
  3. Step 3: Cross multiply
    1,282.34x = 1,922.54 × 705.38
  4. Step 4: Simplify right side
    1,282.34x = 1,356,121.27
  5. Step 5: Solve for x
    x = 1,356,121.27/1,282.34
  6. Step 6: Final answer
    x = 1,057.54

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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.