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Finding the Fourth Proportional to 1,384.49, 2,076.93 and 460.28

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Solution

The fourth proportional to 1,384.49, 2,076.93 and 460.28 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.49 : 2,076.93 = 460.28 : x
  2. Step 2: Convert to fraction form
    1,384.49/2,076.93 = 460.28/x
  3. Step 3: Cross multiply
    1,384.49x = 2,076.93 × 460.28
  4. Step 4: Simplify right side
    1,384.49x = 955,958.96
  5. Step 5: Solve for x
    x = 955,958.96/1,384.49
  6. Step 6: Final answer
    x = 690.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.