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Finding the Fourth Proportional to 1,084.45, 1,627.08 and 506.92

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Solution

The fourth proportional to 1,084.45, 1,627.08 and 506.92 is: 760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.45 : 1,627.08 = 506.92 : x
  2. Step 2: Convert to fraction form
    1,084.45/1,627.08 = 506.92/x
  3. Step 3: Cross multiply
    1,084.45x = 1,627.08 × 506.92
  4. Step 4: Simplify right side
    1,084.45x = 824,799.39
  5. Step 5: Solve for x
    x = 824,799.39/1,084.45
  6. Step 6: Final answer
    x = 760.57

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