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Finding the Fourth Proportional to 1,021.38, 1,409.48 and 579.32

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Solution

The fourth proportional to 1,021.38, 1,409.48 and 579.32 is: 799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.38 : 1,409.48 = 579.32 : x
  2. Step 2: Convert to fraction form
    1,021.38/1,409.48 = 579.32/x
  3. Step 3: Cross multiply
    1,021.38x = 1,409.48 × 579.32
  4. Step 4: Simplify right side
    1,021.38x = 816,539.95
  5. Step 5: Solve for x
    x = 816,539.95/1,021.38
  6. Step 6: Final answer
    x = 799.45

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1.5x scale

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.