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Finding the Fourth Proportional to 1,003.69, 1,507.16 and 621.37

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Solution

The fourth proportional to 1,003.69, 1,507.16 and 621.37 is: 933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.69 : 1,507.16 = 621.37 : x
  2. Step 2: Convert to fraction form
    1,003.69/1,507.16 = 621.37/x
  3. Step 3: Cross multiply
    1,003.69x = 1,507.16 × 621.37
  4. Step 4: Simplify right side
    1,003.69x = 936,504.01
  5. Step 5: Solve for x
    x = 936,504.01/1,003.69
  6. Step 6: Final answer
    x = 933.06

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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.