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Finding the Fourth Proportional to 794.76, 1,192.37 and 649.87

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Solution

The fourth proportional to 794.76, 1,192.37 and 649.87 is: 975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.76 : 1,192.37 = 649.87 : x
  2. Step 2: Convert to fraction form
    794.76/1,192.37 = 649.87/x
  3. Step 3: Cross multiply
    794.76x = 1,192.37 × 649.87
  4. Step 4: Simplify right side
    794.76x = 774,889.62
  5. Step 5: Solve for x
    x = 774,889.62/794.76
  6. Step 6: Final answer
    x = 975.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.