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Finding the Fourth Proportional to 1,571.38, 2,357.43 and 705.22

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Solution

The fourth proportional to 1,571.38, 2,357.43 and 705.22 is: 1,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.38 : 2,357.43 = 705.22 : x
  2. Step 2: Convert to fraction form
    1,571.38/2,357.43 = 705.22/x
  3. Step 3: Cross multiply
    1,571.38x = 2,357.43 × 705.22
  4. Step 4: Simplify right side
    1,571.38x = 1,662,506.78
  5. Step 5: Solve for x
    x = 1,662,506.78/1,571.38
  6. Step 6: Final answer
    x = 1,057.99

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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.