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Finding the Fourth Proportional to 1,346.49, 2,019.74 and 697.68

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Solution

The fourth proportional to 1,346.49, 2,019.74 and 697.68 is: 1,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.49 : 2,019.74 = 697.68 : x
  2. Step 2: Convert to fraction form
    1,346.49/2,019.74 = 697.68/x
  3. Step 3: Cross multiply
    1,346.49x = 2,019.74 × 697.68
  4. Step 4: Simplify right side
    1,346.49x = 1,409,128.71
  5. Step 5: Solve for x
    x = 1,409,128.71/1,346.49
  6. Step 6: Final answer
    x = 1,046.52

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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.