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Finding the Fourth Proportional to 719.64, 1,083.88 and 668.94

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Solution

The fourth proportional to 719.64, 1,083.88 and 668.94 is: 1,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.64 : 1,083.88 = 668.94 : x
  2. Step 2: Convert to fraction form
    719.64/1,083.88 = 668.94/x
  3. Step 3: Cross multiply
    719.64x = 1,083.88 × 668.94
  4. Step 4: Simplify right side
    719.64x = 725,050.69
  5. Step 5: Solve for x
    x = 725,050.69/719.64
  6. Step 6: Final answer
    x = 1,007.52

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Why These Related Problems?

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