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Finding the Fourth Proportional to 1,076.04, 1,614.94 and 460.17

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Solution

The fourth proportional to 1,076.04, 1,614.94 and 460.17 is: 690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.04 : 1,614.94 = 460.17 : x
  2. Step 2: Convert to fraction form
    1,076.04/1,614.94 = 460.17/x
  3. Step 3: Cross multiply
    1,076.04x = 1,614.94 × 460.17
  4. Step 4: Simplify right side
    1,076.04x = 743,145.79
  5. Step 5: Solve for x
    x = 743,145.79/1,076.04
  6. Step 6: Final answer
    x = 690.63

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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.