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Finding the Fourth Proportional to 1,411.02, 1,946.99 and 821.44

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Solution

The fourth proportional to 1,411.02, 1,946.99 and 821.44 is: 1,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.02 : 1,946.99 = 821.44 : x
  2. Step 2: Convert to fraction form
    1,411.02/1,946.99 = 821.44/x
  3. Step 3: Cross multiply
    1,411.02x = 1,946.99 × 821.44
  4. Step 4: Simplify right side
    1,411.02x = 1,599,335.33
  5. Step 5: Solve for x
    x = 1,599,335.33/1,411.02
  6. Step 6: Final answer
    x = 1,133.46

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1.5x scale

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.