Home / 1,313.20-1,970.94-697.36

Finding the Fourth Proportional to 1,313.20, 1,970.94 and 697.36

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Solution

The fourth proportional to 1,313.20, 1,970.94 and 697.36 is: 1,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.20 : 1,970.94 = 697.36 : x
  2. Step 2: Convert to fraction form
    1,313.20/1,970.94 = 697.36/x
  3. Step 3: Cross multiply
    1,313.20x = 1,970.94 × 697.36
  4. Step 4: Simplify right side
    1,313.20x = 1,374,454.72
  5. Step 5: Solve for x
    x = 1,374,454.72/1,313.20
  6. Step 6: Final answer
    x = 1,046.65

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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.