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Finding the Fourth Proportional to 1,025.26, 1,415.31 and 694.69

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Solution

The fourth proportional to 1,025.26, 1,415.31 and 694.69 is: 958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.26 : 1,415.31 = 694.69 : x
  2. Step 2: Convert to fraction form
    1,025.26/1,415.31 = 694.69/x
  3. Step 3: Cross multiply
    1,025.26x = 1,415.31 × 694.69
  4. Step 4: Simplify right side
    1,025.26x = 983,194.63
  5. Step 5: Solve for x
    x = 983,194.63/1,025.26
  6. Step 6: Final answer
    x = 958.98

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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.