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Finding the Fourth Proportional to 1,008.83, 1,513.38 and 315.54

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Solution

The fourth proportional to 1,008.83, 1,513.38 and 315.54 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.83 : 1,513.38 = 315.54 : x
  2. Step 2: Convert to fraction form
    1,008.83/1,513.38 = 315.54/x
  3. Step 3: Cross multiply
    1,008.83x = 1,513.38 × 315.54
  4. Step 4: Simplify right side
    1,008.83x = 477,531.93
  5. Step 5: Solve for x
    x = 477,531.93/1,008.83
  6. Step 6: Final answer
    x = 473.35

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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.