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Finding the Fourth Proportional to 1,140.40, 1,709.70 and 490.60

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Solution

The fourth proportional to 1,140.40, 1,709.70 and 490.60 is: 735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.40 : 1,709.70 = 490.60 : x
  2. Step 2: Convert to fraction form
    1,140.40/1,709.70 = 490.60/x
  3. Step 3: Cross multiply
    1,140.40x = 1,709.70 × 490.60
  4. Step 4: Simplify right side
    1,140.40x = 838,778.82
  5. Step 5: Solve for x
    x = 838,778.82/1,140.40
  6. Step 6: Final answer
    x = 735.51

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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.