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Finding the Fourth Proportional to 1,484.77, 2,049.01 and 821.68

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Solution

The fourth proportional to 1,484.77, 2,049.01 and 821.68 is: 1,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.77 : 2,049.01 = 821.68 : x
  2. Step 2: Convert to fraction form
    1,484.77/2,049.01 = 821.68/x
  3. Step 3: Cross multiply
    1,484.77x = 2,049.01 × 821.68
  4. Step 4: Simplify right side
    1,484.77x = 1,683,630.54
  5. Step 5: Solve for x
    x = 1,683,630.54/1,484.77
  6. Step 6: Final answer
    x = 1,133.93

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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.