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Finding the Fourth Proportional to 948.78, 1,416.06 and 833.22

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Solution

The fourth proportional to 948.78, 1,416.06 and 833.22 is: 1,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.78 : 1,416.06 = 833.22 : x
  2. Step 2: Convert to fraction form
    948.78/1,416.06 = 833.22/x
  3. Step 3: Cross multiply
    948.78x = 1,416.06 × 833.22
  4. Step 4: Simplify right side
    948.78x = 1,179,889.51
  5. Step 5: Solve for x
    x = 1,179,889.51/948.78
  6. Step 6: Final answer
    x = 1,243.59

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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.