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Finding the Fourth Proportional to 948.36, 1,423.44 and 515.82

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Solution

The fourth proportional to 948.36, 1,423.44 and 515.82 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.36 : 1,423.44 = 515.82 : x
  2. Step 2: Convert to fraction form
    948.36/1,423.44 = 515.82/x
  3. Step 3: Cross multiply
    948.36x = 1,423.44 × 515.82
  4. Step 4: Simplify right side
    948.36x = 734,238.82
  5. Step 5: Solve for x
    x = 734,238.82/948.36
  6. Step 6: Final answer
    x = 774.22

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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.