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Finding the Fourth Proportional to 948.93, 1,424.28 and 584.43

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Solution

The fourth proportional to 948.93, 1,424.28 and 584.43 is: 877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.93 : 1,424.28 = 584.43 : x
  2. Step 2: Convert to fraction form
    948.93/1,424.28 = 584.43/x
  3. Step 3: Cross multiply
    948.93x = 1,424.28 × 584.43
  4. Step 4: Simplify right side
    948.93x = 832,391.64
  5. Step 5: Solve for x
    x = 832,391.64/948.93
  6. Step 6: Final answer
    x = 877.19

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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.