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Finding the Fourth Proportional to 1,043.54, 1,440.13 and 577.79

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Solution

The fourth proportional to 1,043.54, 1,440.13 and 577.79 is: 797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.54 : 1,440.13 = 577.79 : x
  2. Step 2: Convert to fraction form
    1,043.54/1,440.13 = 577.79/x
  3. Step 3: Cross multiply
    1,043.54x = 1,440.13 × 577.79
  4. Step 4: Simplify right side
    1,043.54x = 832,092.71
  5. Step 5: Solve for x
    x = 832,092.71/1,043.54
  6. Step 6: Final answer
    x = 797.38

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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.