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Finding the Fourth Proportional to 785.18, 1,084.34 and 646.67

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Solution

The fourth proportional to 785.18, 1,084.34 and 646.67 is: 893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.18 : 1,084.34 = 646.67 : x
  2. Step 2: Convert to fraction form
    785.18/1,084.34 = 646.67/x
  3. Step 3: Cross multiply
    785.18x = 1,084.34 × 646.67
  4. Step 4: Simplify right side
    785.18x = 701,201.49
  5. Step 5: Solve for x
    x = 701,201.49/785.18
  6. Step 6: Final answer
    x = 893.05

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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.