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Finding the Fourth Proportional to 705.52, 1,052.96 and 643.84

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Solution

The fourth proportional to 705.52, 1,052.96 and 643.84 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.52 : 1,052.96 = 643.84 : x
  2. Step 2: Convert to fraction form
    705.52/1,052.96 = 643.84/x
  3. Step 3: Cross multiply
    705.52x = 1,052.96 × 643.84
  4. Step 4: Simplify right side
    705.52x = 677,937.77
  5. Step 5: Solve for x
    x = 677,937.77/705.52
  6. Step 6: Final answer
    x = 960.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.