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Finding the Fourth Proportional to 1,290.48, 1,782.02 and 825.52

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Solution

The fourth proportional to 1,290.48, 1,782.02 and 825.52 is: 1,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.48 : 1,782.02 = 825.52 : x
  2. Step 2: Convert to fraction form
    1,290.48/1,782.02 = 825.52/x
  3. Step 3: Cross multiply
    1,290.48x = 1,782.02 × 825.52
  4. Step 4: Simplify right side
    1,290.48x = 1,471,093.15
  5. Step 5: Solve for x
    x = 1,471,093.15/1,290.48
  6. Step 6: Final answer
    x = 1,139.96

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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.