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Finding the Fourth Proportional to 1,042.74, 1,556.64 and 969.84

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Solution

The fourth proportional to 1,042.74, 1,556.64 and 969.84 is: 1,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.74 : 1,556.64 = 969.84 : x
  2. Step 2: Convert to fraction form
    1,042.74/1,556.64 = 969.84/x
  3. Step 3: Cross multiply
    1,042.74x = 1,556.64 × 969.84
  4. Step 4: Simplify right side
    1,042.74x = 1,509,691.74
  5. Step 5: Solve for x
    x = 1,509,691.74/1,042.74
  6. Step 6: Final answer
    x = 1,447.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.