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Finding the Fourth Proportional to 948.31, 1,309.01 and 649.72

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Solution

The fourth proportional to 948.31, 1,309.01 and 649.72 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.31 : 1,309.01 = 649.72 : x
  2. Step 2: Convert to fraction form
    948.31/1,309.01 = 649.72/x
  3. Step 3: Cross multiply
    948.31x = 1,309.01 × 649.72
  4. Step 4: Simplify right side
    948.31x = 850,488.36
  5. Step 5: Solve for x
    x = 850,488.36/948.31
  6. Step 6: Final answer
    x = 896.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.