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Finding the Fourth Proportional to 1,384.78, 2,076.70 and 460.17

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Solution

The fourth proportional to 1,384.78, 2,076.70 and 460.17 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.78 : 2,076.70 = 460.17 : x
  2. Step 2: Convert to fraction form
    1,384.78/2,076.70 = 460.17/x
  3. Step 3: Cross multiply
    1,384.78x = 2,076.70 × 460.17
  4. Step 4: Simplify right side
    1,384.78x = 955,635.04
  5. Step 5: Solve for x
    x = 955,635.04/1,384.78
  6. Step 6: Final answer
    x = 690.10

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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.