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Finding the Fourth Proportional to 1,003.54, 1,505.31 and 659.06

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Solution

The fourth proportional to 1,003.54, 1,505.31 and 659.06 is: 988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.54 : 1,505.31 = 659.06 : x
  2. Step 2: Convert to fraction form
    1,003.54/1,505.31 = 659.06/x
  3. Step 3: Cross multiply
    1,003.54x = 1,505.31 × 659.06
  4. Step 4: Simplify right side
    1,003.54x = 992,082.08
  5. Step 5: Solve for x
    x = 992,082.08/1,003.54
  6. Step 6: Final answer
    x = 988.58

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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.