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Finding the Fourth Proportional to 1,043.62, 1,440.21 and 571.52

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Solution

The fourth proportional to 1,043.62, 1,440.21 and 571.52 is: 788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.62 : 1,440.21 = 571.52 : x
  2. Step 2: Convert to fraction form
    1,043.62/1,440.21 = 571.52/x
  3. Step 3: Cross multiply
    1,043.62x = 1,440.21 × 571.52
  4. Step 4: Simplify right side
    1,043.62x = 823,111.35
  5. Step 5: Solve for x
    x = 823,111.35/1,043.62
  6. Step 6: Final answer
    x = 788.71

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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.