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Finding the Fourth Proportional to 1,077.08, 1,614.94 and 460.42

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Solution

The fourth proportional to 1,077.08, 1,614.94 and 460.42 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.08 : 1,614.94 = 460.42 : x
  2. Step 2: Convert to fraction form
    1,077.08/1,614.94 = 460.42/x
  3. Step 3: Cross multiply
    1,077.08x = 1,614.94 × 460.42
  4. Step 4: Simplify right side
    1,077.08x = 743,550.67
  5. Step 5: Solve for x
    x = 743,550.67/1,077.08
  6. Step 6: Final answer
    x = 690.34

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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.