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Finding the Fourth Proportional to 779.02, 1,166.69 and 649.01

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Solution

The fourth proportional to 779.02, 1,166.69 and 649.01 is: 971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,166.69 = 649.01 : x
  2. Step 2: Convert to fraction form
    779.02/1,166.69 = 649.01/x
  3. Step 3: Cross multiply
    779.02x = 1,166.69 × 649.01
  4. Step 4: Simplify right side
    779.02x = 757,198.02
  5. Step 5: Solve for x
    x = 757,198.02/779.02
  6. Step 6: Final answer
    x = 971.99

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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.