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Finding the Fourth Proportional to 979.82, 1,476.47 and 810.30

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Solution

The fourth proportional to 979.82, 1,476.47 and 810.30 is: 1,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,476.47 = 810.30 : x
  2. Step 2: Convert to fraction form
    979.82/1,476.47 = 810.30/x
  3. Step 3: Cross multiply
    979.82x = 1,476.47 × 810.30
  4. Step 4: Simplify right side
    979.82x = 1,196,387.89
  5. Step 5: Solve for x
    x = 1,196,387.89/979.82
  6. Step 6: Final answer
    x = 1,221.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.