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Finding the Fourth Proportional to 786, 1,084.69 and 454.54

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Solution

The fourth proportional to 786, 1,084.69 and 454.54 is: 627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    786 : 1,084.69 = 454.54 : x
  2. Step 2: Convert to fraction form
    786/1,084.69 = 454.54/x
  3. Step 3: Cross multiply
    786x = 1,084.69 × 454.54
  4. Step 4: Simplify right side
    786x = 493,034.99
  5. Step 5: Solve for x
    x = 493,034.99/786
  6. Step 6: Final answer
    x = 627.27

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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.