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Finding the Fourth Proportional to 1,570.26, 2,355.75 and 680.94

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Solution

The fourth proportional to 1,570.26, 2,355.75 and 680.94 is: 1,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.26 : 2,355.75 = 680.94 : x
  2. Step 2: Convert to fraction form
    1,570.26/2,355.75 = 680.94/x
  3. Step 3: Cross multiply
    1,570.26x = 2,355.75 × 680.94
  4. Step 4: Simplify right side
    1,570.26x = 1,604,117.78
  5. Step 5: Solve for x
    x = 1,604,117.78/1,570.26
  6. Step 6: Final answer
    x = 1,021.56

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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.