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Finding the Fourth Proportional to 1,139.85, 1,707.81 and 890.19

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Solution

The fourth proportional to 1,139.85, 1,707.81 and 890.19 is: 1,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.85 : 1,707.81 = 890.19 : x
  2. Step 2: Convert to fraction form
    1,139.85/1,707.81 = 890.19/x
  3. Step 3: Cross multiply
    1,139.85x = 1,707.81 × 890.19
  4. Step 4: Simplify right side
    1,139.85x = 1,520,262.39
  5. Step 5: Solve for x
    x = 1,520,262.39/1,139.85
  6. Step 6: Final answer
    x = 1,333.74

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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.