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Finding the Fourth Proportional to 796.92, 1,100.69 and 530.91

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Solution

The fourth proportional to 796.92, 1,100.69 and 530.91 is: 733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.92 : 1,100.69 = 530.91 : x
  2. Step 2: Convert to fraction form
    796.92/1,100.69 = 530.91/x
  3. Step 3: Cross multiply
    796.92x = 1,100.69 × 530.91
  4. Step 4: Simplify right side
    796.92x = 584,364.67
  5. Step 5: Solve for x
    x = 584,364.67/796.92
  6. Step 6: Final answer
    x = 733.28

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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.