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Finding the Fourth Proportional to 1,021.61, 1,409.88 and 573.52

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Solution

The fourth proportional to 1,021.61, 1,409.88 and 573.52 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.61 : 1,409.88 = 573.52 : x
  2. Step 2: Convert to fraction form
    1,021.61/1,409.88 = 573.52/x
  3. Step 3: Cross multiply
    1,021.61x = 1,409.88 × 573.52
  4. Step 4: Simplify right side
    1,021.61x = 808,594.38
  5. Step 5: Solve for x
    x = 808,594.38/1,021.61
  6. Step 6: Final answer
    x = 791.49

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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.