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Finding the Fourth Proportional to 1,025.56, 1,415.24 and 583.56

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Solution

The fourth proportional to 1,025.56, 1,415.24 and 583.56 is: 805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.56 : 1,415.24 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,025.56/1,415.24 = 583.56/x
  3. Step 3: Cross multiply
    1,025.56x = 1,415.24 × 583.56
  4. Step 4: Simplify right side
    1,025.56x = 825,877.45
  5. Step 5: Solve for x
    x = 825,877.45/1,025.56
  6. Step 6: Final answer
    x = 805.29

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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.