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Finding the Fourth Proportional to 1,008.78, 1,392.21 and 589.26

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Solution

The fourth proportional to 1,008.78, 1,392.21 and 589.26 is: 813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.78 : 1,392.21 = 589.26 : x
  2. Step 2: Convert to fraction form
    1,008.78/1,392.21 = 589.26/x
  3. Step 3: Cross multiply
    1,008.78x = 1,392.21 × 589.26
  4. Step 4: Simplify right side
    1,008.78x = 820,373.66
  5. Step 5: Solve for x
    x = 820,373.66/1,008.78
  6. Step 6: Final answer
    x = 813.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.