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Finding the Fourth Proportional to 938.84, 1,407.11 and 706.98

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Solution

The fourth proportional to 938.84, 1,407.11 and 706.98 is: 1,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.84 : 1,407.11 = 706.98 : x
  2. Step 2: Convert to fraction form
    938.84/1,407.11 = 706.98/x
  3. Step 3: Cross multiply
    938.84x = 1,407.11 × 706.98
  4. Step 4: Simplify right side
    938.84x = 994,795.09
  5. Step 5: Solve for x
    x = 994,795.09/938.84
  6. Step 6: Final answer
    x = 1,059.61

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Why These Related Problems?

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