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Finding the Fourth Proportional to 705.60, 1,063.63 and 644.09

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Solution

The fourth proportional to 705.60, 1,063.63 and 644.09 is: 970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,063.63 = 644.09 : x
  2. Step 2: Convert to fraction form
    705.60/1,063.63 = 644.09/x
  3. Step 3: Cross multiply
    705.60x = 1,063.63 × 644.09
  4. Step 4: Simplify right side
    705.60x = 685,073.45
  5. Step 5: Solve for x
    x = 685,073.45/705.60
  6. Step 6: Final answer
    x = 970.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.