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Finding the Fourth Proportional to 1,025.97, 1,415.82 and 583.89

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Solution

The fourth proportional to 1,025.97, 1,415.82 and 583.89 is: 805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.97 : 1,415.82 = 583.89 : x
  2. Step 2: Convert to fraction form
    1,025.97/1,415.82 = 583.89/x
  3. Step 3: Cross multiply
    1,025.97x = 1,415.82 × 583.89
  4. Step 4: Simplify right side
    1,025.97x = 826,683.14
  5. Step 5: Solve for x
    x = 826,683.14/1,025.97
  6. Step 6: Final answer
    x = 805.76

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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.