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Finding the Fourth Proportional to 1,384.70, 2,076.19 and 460.02

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Solution

The fourth proportional to 1,384.70, 2,076.19 and 460.02 is: 689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.70 : 2,076.19 = 460.02 : x
  2. Step 2: Convert to fraction form
    1,384.70/2,076.19 = 460.02/x
  3. Step 3: Cross multiply
    1,384.70x = 2,076.19 × 460.02
  4. Step 4: Simplify right side
    1,384.70x = 955,083.88
  5. Step 5: Solve for x
    x = 955,083.88/1,384.70
  6. Step 6: Final answer
    x = 689.74

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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.