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Finding the Fourth Proportional to 1,139.92, 1,710.42 and 490.84

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Solution

The fourth proportional to 1,139.92, 1,710.42 and 490.84 is: 736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.92 : 1,710.42 = 490.84 : x
  2. Step 2: Convert to fraction form
    1,139.92/1,710.42 = 490.84/x
  3. Step 3: Cross multiply
    1,139.92x = 1,710.42 × 490.84
  4. Step 4: Simplify right side
    1,139.92x = 839,542.55
  5. Step 5: Solve for x
    x = 839,542.55/1,139.92
  6. Step 6: Final answer
    x = 736.49

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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.