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Finding the Fourth Proportional to 1,024.06, 1,532.70 and 779.26

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Solution

The fourth proportional to 1,024.06, 1,532.70 and 779.26 is: 1,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.06 : 1,532.70 = 779.26 : x
  2. Step 2: Convert to fraction form
    1,024.06/1,532.70 = 779.26/x
  3. Step 3: Cross multiply
    1,024.06x = 1,532.70 × 779.26
  4. Step 4: Simplify right side
    1,024.06x = 1,194,371.80
  5. Step 5: Solve for x
    x = 1,194,371.80/1,024.06
  6. Step 6: Final answer
    x = 1,166.31

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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.