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Finding the Fourth Proportional to 761.22, 1,048.08 and 648.99

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Solution

The fourth proportional to 761.22, 1,048.08 and 648.99 is: 893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.22 : 1,048.08 = 648.99 : x
  2. Step 2: Convert to fraction form
    761.22/1,048.08 = 648.99/x
  3. Step 3: Cross multiply
    761.22x = 1,048.08 × 648.99
  4. Step 4: Simplify right side
    761.22x = 680,193.44
  5. Step 5: Solve for x
    x = 680,193.44/761.22
  6. Step 6: Final answer
    x = 893.56

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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.