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Finding the Fourth Proportional to 1,053.66, 1,578.40 and 821.44

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Solution

The fourth proportional to 1,053.66, 1,578.40 and 821.44 is: 1,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.66 : 1,578.40 = 821.44 : x
  2. Step 2: Convert to fraction form
    1,053.66/1,578.40 = 821.44/x
  3. Step 3: Cross multiply
    1,053.66x = 1,578.40 × 821.44
  4. Step 4: Simplify right side
    1,053.66x = 1,296,560.90
  5. Step 5: Solve for x
    x = 1,296,560.90/1,053.66
  6. Step 6: Final answer
    x = 1,230.53

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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.