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Finding the Fourth Proportional to 1,296.33, 1,942.32 and 929.28

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Solution

The fourth proportional to 1,296.33, 1,942.32 and 929.28 is: 1,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.33 : 1,942.32 = 929.28 : x
  2. Step 2: Convert to fraction form
    1,296.33/1,942.32 = 929.28/x
  3. Step 3: Cross multiply
    1,296.33x = 1,942.32 × 929.28
  4. Step 4: Simplify right side
    1,296.33x = 1,804,959.13
  5. Step 5: Solve for x
    x = 1,804,959.13/1,296.33
  6. Step 6: Final answer
    x = 1,392.36

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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.