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Finding the Fourth Proportional to 1,003.28, 1,505.69 and 448.16

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Solution

The fourth proportional to 1,003.28, 1,505.69 and 448.16 is: 672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.28 : 1,505.69 = 448.16 : x
  2. Step 2: Convert to fraction form
    1,003.28/1,505.69 = 448.16/x
  3. Step 3: Cross multiply
    1,003.28x = 1,505.69 × 448.16
  4. Step 4: Simplify right side
    1,003.28x = 674,780.26
  5. Step 5: Solve for x
    x = 674,780.26/1,003.28
  6. Step 6: Final answer
    x = 672.58

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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.