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Finding the Fourth Proportional to 1,450.94, 2,174.90 and 585.86

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Solution

The fourth proportional to 1,450.94, 2,174.90 and 585.86 is: 878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.94 : 2,174.90 = 585.86 : x
  2. Step 2: Convert to fraction form
    1,450.94/2,174.90 = 585.86/x
  3. Step 3: Cross multiply
    1,450.94x = 2,174.90 × 585.86
  4. Step 4: Simplify right side
    1,450.94x = 1,274,186.91
  5. Step 5: Solve for x
    x = 1,274,186.91/1,450.94
  6. Step 6: Final answer
    x = 878.18

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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.