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Finding the Fourth Proportional to 1,008.53, 1,391.78 and 589.17

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Solution

The fourth proportional to 1,008.53, 1,391.78 and 589.17 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.53 : 1,391.78 = 589.17 : x
  2. Step 2: Convert to fraction form
    1,008.53/1,391.78 = 589.17/x
  3. Step 3: Cross multiply
    1,008.53x = 1,391.78 × 589.17
  4. Step 4: Simplify right side
    1,008.53x = 819,995.02
  5. Step 5: Solve for x
    x = 819,995.02/1,008.53
  6. Step 6: Final answer
    x = 813.06

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Why These Related Problems?

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