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Finding the Fourth Proportional to 810.18, 1,118.30 and 589.14

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Solution

The fourth proportional to 810.18, 1,118.30 and 589.14 is: 813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.18 : 1,118.30 = 589.14 : x
  2. Step 2: Convert to fraction form
    810.18/1,118.30 = 589.14/x
  3. Step 3: Cross multiply
    810.18x = 1,118.30 × 589.14
  4. Step 4: Simplify right side
    810.18x = 658,832.32
  5. Step 5: Solve for x
    x = 658,832.32/810.18
  6. Step 6: Final answer
    x = 813.19

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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.