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Finding the Fourth Proportional to 1,484.41, 2,048.40 and 821.22

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Solution

The fourth proportional to 1,484.41, 2,048.40 and 821.22 is: 1,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.41 : 2,048.40 = 821.22 : x
  2. Step 2: Convert to fraction form
    1,484.41/2,048.40 = 821.22/x
  3. Step 3: Cross multiply
    1,484.41x = 2,048.40 × 821.22
  4. Step 4: Simplify right side
    1,484.41x = 1,682,187.05
  5. Step 5: Solve for x
    x = 1,682,187.05/1,484.41
  6. Step 6: Final answer
    x = 1,133.24

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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.