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Finding the Fourth Proportional to 1,083.69, 1,627.16 and 621.99

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Solution

The fourth proportional to 1,083.69, 1,627.16 and 621.99 is: 933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.69 : 1,627.16 = 621.99 : x
  2. Step 2: Convert to fraction form
    1,083.69/1,627.16 = 621.99/x
  3. Step 3: Cross multiply
    1,083.69x = 1,627.16 × 621.99
  4. Step 4: Simplify right side
    1,083.69x = 1,012,074.14
  5. Step 5: Solve for x
    x = 1,012,074.14/1,083.69
  6. Step 6: Final answer
    x = 933.91

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Why These Related Problems?

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