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Finding the Fourth Proportional to 1,021.56, 1,409.64 and 573.40

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Solution

The fourth proportional to 1,021.56, 1,409.64 and 573.40 is: 791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.56 : 1,409.64 = 573.40 : x
  2. Step 2: Convert to fraction form
    1,021.56/1,409.64 = 573.40/x
  3. Step 3: Cross multiply
    1,021.56x = 1,409.64 × 573.40
  4. Step 4: Simplify right side
    1,021.56x = 808,287.58
  5. Step 5: Solve for x
    x = 808,287.58/1,021.56
  6. Step 6: Final answer
    x = 791.23

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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.