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Finding the Fourth Proportional to 1,008.41, 1,513.12 and 683.10

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Solution

The fourth proportional to 1,008.41, 1,513.12 and 683.10 is: 1,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.41 : 1,513.12 = 683.10 : x
  2. Step 2: Convert to fraction form
    1,008.41/1,513.12 = 683.10/x
  3. Step 3: Cross multiply
    1,008.41x = 1,513.12 × 683.10
  4. Step 4: Simplify right side
    1,008.41x = 1,033,604.71
  5. Step 5: Solve for x
    x = 1,033,604.71/1,008.41
  6. Step 6: Final answer
    x = 1,024.98

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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.