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Finding the Fourth Proportional to 1,003.04, 1,504.61 and 353.82

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Solution

The fourth proportional to 1,003.04, 1,504.61 and 353.82 is: 530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.04 : 1,504.61 = 353.82 : x
  2. Step 2: Convert to fraction form
    1,003.04/1,504.61 = 353.82/x
  3. Step 3: Cross multiply
    1,003.04x = 1,504.61 × 353.82
  4. Step 4: Simplify right side
    1,003.04x = 532,359.34
  5. Step 5: Solve for x
    x = 532,359.34/1,003.04
  6. Step 6: Final answer
    x = 530.75

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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.