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Finding the Fourth Proportional to 946.33, 1,305.79 and 532.25

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Solution

The fourth proportional to 946.33, 1,305.79 and 532.25 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.33 : 1,305.79 = 532.25 : x
  2. Step 2: Convert to fraction form
    946.33/1,305.79 = 532.25/x
  3. Step 3: Cross multiply
    946.33x = 1,305.79 × 532.25
  4. Step 4: Simplify right side
    946.33x = 695,004.07
  5. Step 5: Solve for x
    x = 695,004.07/946.33
  6. Step 6: Final answer
    x = 734.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.