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Finding the Fourth Proportional to 1,076.38, 1,614.65 and 460.09

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Solution

The fourth proportional to 1,076.38, 1,614.65 and 460.09 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.38 : 1,614.65 = 460.09 : x
  2. Step 2: Convert to fraction form
    1,076.38/1,614.65 = 460.09/x
  3. Step 3: Cross multiply
    1,076.38x = 1,614.65 × 460.09
  4. Step 4: Simplify right side
    1,076.38x = 742,879.65
  5. Step 5: Solve for x
    x = 742,879.65/1,076.38
  6. Step 6: Final answer
    x = 690.17

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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.