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Finding the Fourth Proportional to 1,008.93, 1,513.97 and 392.55

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Solution

The fourth proportional to 1,008.93, 1,513.97 and 392.55 is: 589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.93 : 1,513.97 = 392.55 : x
  2. Step 2: Convert to fraction form
    1,008.93/1,513.97 = 392.55/x
  3. Step 3: Cross multiply
    1,008.93x = 1,513.97 × 392.55
  4. Step 4: Simplify right side
    1,008.93x = 594,308.92
  5. Step 5: Solve for x
    x = 594,308.92/1,008.93
  6. Step 6: Final answer
    x = 589.05

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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.