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Finding the Fourth Proportional to 761.36, 1,047.96 and 650.48

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Solution

The fourth proportional to 761.36, 1,047.96 and 650.48 is: 895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.36 : 1,047.96 = 650.48 : x
  2. Step 2: Convert to fraction form
    761.36/1,047.96 = 650.48/x
  3. Step 3: Cross multiply
    761.36x = 1,047.96 × 650.48
  4. Step 4: Simplify right side
    761.36x = 681,677.02
  5. Step 5: Solve for x
    x = 681,677.02/761.36
  6. Step 6: Final answer
    x = 895.34

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Why These Related Problems?

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