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Finding the Fourth Proportional to 1,008.58, 1,513.12 and 350.36

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Solution

The fourth proportional to 1,008.58, 1,513.12 and 350.36 is: 525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.58 : 1,513.12 = 350.36 : x
  2. Step 2: Convert to fraction form
    1,008.58/1,513.12 = 350.36/x
  3. Step 3: Cross multiply
    1,008.58x = 1,513.12 × 350.36
  4. Step 4: Simplify right side
    1,008.58x = 530,142.24
  5. Step 5: Solve for x
    x = 530,142.24/1,008.58
  6. Step 6: Final answer
    x = 525.63

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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.