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Finding the Fourth Proportional to 785.55, 1,084.78 and 506.26

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Solution

The fourth proportional to 785.55, 1,084.78 and 506.26 is: 699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.55 : 1,084.78 = 506.26 : x
  2. Step 2: Convert to fraction form
    785.55/1,084.78 = 506.26/x
  3. Step 3: Cross multiply
    785.55x = 1,084.78 × 506.26
  4. Step 4: Simplify right side
    785.55x = 549,183.53
  5. Step 5: Solve for x
    x = 549,183.53/785.55
  6. Step 6: Final answer
    x = 699.11

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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.