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Finding the Fourth Proportional to 1,316.11, 1,815.86 and 756.55

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Solution

The fourth proportional to 1,316.11, 1,815.86 and 756.55 is: 1,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.11 : 1,815.86 = 756.55 : x
  2. Step 2: Convert to fraction form
    1,316.11/1,815.86 = 756.55/x
  3. Step 3: Cross multiply
    1,316.11x = 1,815.86 × 756.55
  4. Step 4: Simplify right side
    1,316.11x = 1,373,788.88
  5. Step 5: Solve for x
    x = 1,373,788.88/1,316.11
  6. Step 6: Final answer
    x = 1,043.83

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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.