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Finding the Fourth Proportional to 713.75, 1,068.87 and 644.49

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Solution

The fourth proportional to 713.75, 1,068.87 and 644.49 is: 965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.75 : 1,068.87 = 644.49 : x
  2. Step 2: Convert to fraction form
    713.75/1,068.87 = 644.49/x
  3. Step 3: Cross multiply
    713.75x = 1,068.87 × 644.49
  4. Step 4: Simplify right side
    713.75x = 688,876.63
  5. Step 5: Solve for x
    x = 688,876.63/713.75
  6. Step 6: Final answer
    x = 965.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.