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Finding the Fourth Proportional to 1,055.23, 1,582.94 and 825.59

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Solution

The fourth proportional to 1,055.23, 1,582.94 and 825.59 is: 1,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.23 : 1,582.94 = 825.59 : x
  2. Step 2: Convert to fraction form
    1,055.23/1,582.94 = 825.59/x
  3. Step 3: Cross multiply
    1,055.23x = 1,582.94 × 825.59
  4. Step 4: Simplify right side
    1,055.23x = 1,306,865.46
  5. Step 5: Solve for x
    x = 1,306,865.46/1,055.23
  6. Step 6: Final answer
    x = 1,238.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.