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Finding the Fourth Proportional to 1,365.12, 1,883.94 and 1,032.96

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Solution

The fourth proportional to 1,365.12, 1,883.94 and 1,032.96 is: 1,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.12 : 1,883.94 = 1,032.96 : x
  2. Step 2: Convert to fraction form
    1,365.12/1,883.94 = 1,032.96/x
  3. Step 3: Cross multiply
    1,365.12x = 1,883.94 × 1,032.96
  4. Step 4: Simplify right side
    1,365.12x = 1,946,034.66
  5. Step 5: Solve for x
    x = 1,946,034.66/1,365.12
  6. Step 6: Final answer
    x = 1,425.54

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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.