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Finding the Fourth Proportional to 1,571.71, 2,358.19 and 705.42

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Solution

The fourth proportional to 1,571.71, 2,358.19 and 705.42 is: 1,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.71 : 2,358.19 = 705.42 : x
  2. Step 2: Convert to fraction form
    1,571.71/2,358.19 = 705.42/x
  3. Step 3: Cross multiply
    1,571.71x = 2,358.19 × 705.42
  4. Step 4: Simplify right side
    1,571.71x = 1,663,514.39
  5. Step 5: Solve for x
    x = 1,663,514.39/1,571.71
  6. Step 6: Final answer
    x = 1,058.41

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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.