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Finding the Fourth Proportional to 1,043.73, 1,440.33 and 577.98

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Solution

The fourth proportional to 1,043.73, 1,440.33 and 577.98 is: 797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.73 : 1,440.33 = 577.98 : x
  2. Step 2: Convert to fraction form
    1,043.73/1,440.33 = 577.98/x
  3. Step 3: Cross multiply
    1,043.73x = 1,440.33 × 577.98
  4. Step 4: Simplify right side
    1,043.73x = 832,481.93
  5. Step 5: Solve for x
    x = 832,481.93/1,043.73
  6. Step 6: Final answer
    x = 797.60

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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.