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Finding the Fourth Proportional to 785.95, 1,084.17 and 706.67

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Solution

The fourth proportional to 785.95, 1,084.17 and 706.67 is: 974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,084.17 = 706.67 : x
  2. Step 2: Convert to fraction form
    785.95/1,084.17 = 706.67/x
  3. Step 3: Cross multiply
    785.95x = 1,084.17 × 706.67
  4. Step 4: Simplify right side
    785.95x = 766,150.41
  5. Step 5: Solve for x
    x = 766,150.41/785.95
  6. Step 6: Final answer
    x = 974.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.