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Finding the Fourth Proportional to 1,651.98, 2,476.42 and 829.29

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Solution

The fourth proportional to 1,651.98, 2,476.42 and 829.29 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.98 : 2,476.42 = 829.29 : x
  2. Step 2: Convert to fraction form
    1,651.98/2,476.42 = 829.29/x
  3. Step 3: Cross multiply
    1,651.98x = 2,476.42 × 829.29
  4. Step 4: Simplify right side
    1,651.98x = 2,053,670.34
  5. Step 5: Solve for x
    x = 2,053,670.34/1,651.98
  6. Step 6: Final answer
    x = 1,243.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.