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Finding the Fourth Proportional to 1,445.04, 1,994.20 and 824

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Solution

The fourth proportional to 1,445.04, 1,994.20 and 824 is: 1,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.04 : 1,994.20 = 824 : x
  2. Step 2: Convert to fraction form
    1,445.04/1,994.20 = 824/x
  3. Step 3: Cross multiply
    1,445.04x = 1,994.20 × 824
  4. Step 4: Simplify right side
    1,445.04x = 1,643,220.80
  5. Step 5: Solve for x
    x = 1,643,220.80/1,445.04
  6. Step 6: Final answer
    x = 1,137.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.