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Finding the Fourth Proportional to 1,021.69, 1,409.93 and 579.68

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Solution

The fourth proportional to 1,021.69, 1,409.93 and 579.68 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.69 : 1,409.93 = 579.68 : x
  2. Step 2: Convert to fraction form
    1,021.69/1,409.93 = 579.68/x
  3. Step 3: Cross multiply
    1,021.69x = 1,409.93 × 579.68
  4. Step 4: Simplify right side
    1,021.69x = 817,308.22
  5. Step 5: Solve for x
    x = 817,308.22/1,021.69
  6. Step 6: Final answer
    x = 799.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.