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Finding the Fourth Proportional to 948.98, 1,424.39 and 584.48

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Solution

The fourth proportional to 948.98, 1,424.39 and 584.48 is: 877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.98 : 1,424.39 = 584.48 : x
  2. Step 2: Convert to fraction form
    948.98/1,424.39 = 584.48/x
  3. Step 3: Cross multiply
    948.98x = 1,424.39 × 584.48
  4. Step 4: Simplify right side
    948.98x = 832,527.47
  5. Step 5: Solve for x
    x = 832,527.47/948.98
  6. Step 6: Final answer
    x = 877.29

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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.