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Finding the Fourth Proportional to 1,315.22, 1,815.84 and 818.57

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Solution

The fourth proportional to 1,315.22, 1,815.84 and 818.57 is: 1,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.22 : 1,815.84 = 818.57 : x
  2. Step 2: Convert to fraction form
    1,315.22/1,815.84 = 818.57/x
  3. Step 3: Cross multiply
    1,315.22x = 1,815.84 × 818.57
  4. Step 4: Simplify right side
    1,315.22x = 1,486,396.69
  5. Step 5: Solve for x
    x = 1,486,396.69/1,315.22
  6. Step 6: Final answer
    x = 1,130.15

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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.