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Finding the Fourth Proportional to 1,310.67, 1,808.72 and 751.33

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Solution

The fourth proportional to 1,310.67, 1,808.72 and 751.33 is: 1,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.67 : 1,808.72 = 751.33 : x
  2. Step 2: Convert to fraction form
    1,310.67/1,808.72 = 751.33/x
  3. Step 3: Cross multiply
    1,310.67x = 1,808.72 × 751.33
  4. Step 4: Simplify right side
    1,310.67x = 1,358,936.55
  5. Step 5: Solve for x
    x = 1,358,936.55/1,310.67
  6. Step 6: Final answer
    x = 1,036.83

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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.