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Finding the Fourth Proportional to 1,003.09, 1,504.36 and 353.47

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Solution

The fourth proportional to 1,003.09, 1,504.36 and 353.47 is: 530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.09 : 1,504.36 = 353.47 : x
  2. Step 2: Convert to fraction form
    1,003.09/1,504.36 = 353.47/x
  3. Step 3: Cross multiply
    1,003.09x = 1,504.36 × 353.47
  4. Step 4: Simplify right side
    1,003.09x = 531,746.13
  5. Step 5: Solve for x
    x = 531,746.13/1,003.09
  6. Step 6: Final answer
    x = 530.11

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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.