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Finding the Fourth Proportional to 1,028.72, 1,421.16 and 807.68

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Solution

The fourth proportional to 1,028.72, 1,421.16 and 807.68 is: 1,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.72 : 1,421.16 = 807.68 : x
  2. Step 2: Convert to fraction form
    1,028.72/1,421.16 = 807.68/x
  3. Step 3: Cross multiply
    1,028.72x = 1,421.16 × 807.68
  4. Step 4: Simplify right side
    1,028.72x = 1,147,842.51
  5. Step 5: Solve for x
    x = 1,147,842.51/1,028.72
  6. Step 6: Final answer
    x = 1,115.80

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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.