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Finding the Fourth Proportional to 1,484.82, 2,048.87 and 821.63

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Solution

The fourth proportional to 1,484.82, 2,048.87 and 821.63 is: 1,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.82 : 2,048.87 = 821.63 : x
  2. Step 2: Convert to fraction form
    1,484.82/2,048.87 = 821.63/x
  3. Step 3: Cross multiply
    1,484.82x = 2,048.87 × 821.63
  4. Step 4: Simplify right side
    1,484.82x = 1,683,420.23
  5. Step 5: Solve for x
    x = 1,683,420.23/1,484.82
  6. Step 6: Final answer
    x = 1,133.75

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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.