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Finding the Fourth Proportional to 1,008.58, 1,513.12 and 488.83

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Solution

The fourth proportional to 1,008.58, 1,513.12 and 488.83 is: 733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.58 : 1,513.12 = 488.83 : x
  2. Step 2: Convert to fraction form
    1,008.58/1,513.12 = 488.83/x
  3. Step 3: Cross multiply
    1,008.58x = 1,513.12 × 488.83
  4. Step 4: Simplify right side
    1,008.58x = 739,650.88
  5. Step 5: Solve for x
    x = 739,650.88/1,008.58
  6. Step 6: Final answer
    x = 733.36

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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.