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Finding the Fourth Proportional to 1,025.78, 1,415.57 and 583.68

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Solution

The fourth proportional to 1,025.78, 1,415.57 and 583.68 is: 805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.78 : 1,415.57 = 583.68 : x
  2. Step 2: Convert to fraction form
    1,025.78/1,415.57 = 583.68/x
  3. Step 3: Cross multiply
    1,025.78x = 1,415.57 × 583.68
  4. Step 4: Simplify right side
    1,025.78x = 826,236.98
  5. Step 5: Solve for x
    x = 826,236.98/1,025.78
  6. Step 6: Final answer
    x = 805.48

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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.