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Finding the Fourth Proportional to 810.33, 1,118.37 and 589.20

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Solution

The fourth proportional to 810.33, 1,118.37 and 589.20 is: 813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.33 : 1,118.37 = 589.20 : x
  2. Step 2: Convert to fraction form
    810.33/1,118.37 = 589.20/x
  3. Step 3: Cross multiply
    810.33x = 1,118.37 × 589.20
  4. Step 4: Simplify right side
    810.33x = 658,943.60
  5. Step 5: Solve for x
    x = 658,943.60/810.33
  6. Step 6: Final answer
    x = 813.18

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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.