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Finding the Fourth Proportional to 1,322.53, 1,825.55 and 818.77

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Solution

The fourth proportional to 1,322.53, 1,825.55 and 818.77 is: 1,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.53 : 1,825.55 = 818.77 : x
  2. Step 2: Convert to fraction form
    1,322.53/1,825.55 = 818.77/x
  3. Step 3: Cross multiply
    1,322.53x = 1,825.55 × 818.77
  4. Step 4: Simplify right side
    1,322.53x = 1,494,705.57
  5. Step 5: Solve for x
    x = 1,494,705.57/1,322.53
  6. Step 6: Final answer
    x = 1,130.19

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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.