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Finding the Fourth Proportional to 1,025.54, 1,415.26 and 583.48

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Solution

The fourth proportional to 1,025.54, 1,415.26 and 583.48 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.54 : 1,415.26 = 583.48 : x
  2. Step 2: Convert to fraction form
    1,025.54/1,415.26 = 583.48/x
  3. Step 3: Cross multiply
    1,025.54x = 1,415.26 × 583.48
  4. Step 4: Simplify right side
    1,025.54x = 825,775.90
  5. Step 5: Solve for x
    x = 825,775.90/1,025.54
  6. Step 6: Final answer
    x = 805.21

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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.