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Finding the Fourth Proportional to 945.94, 1,305.57 and 531.94

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Solution

The fourth proportional to 945.94, 1,305.57 and 531.94 is: 734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.94 : 1,305.57 = 531.94 : x
  2. Step 2: Convert to fraction form
    945.94/1,305.57 = 531.94/x
  3. Step 3: Cross multiply
    945.94x = 1,305.57 × 531.94
  4. Step 4: Simplify right side
    945.94x = 694,483.64
  5. Step 5: Solve for x
    x = 694,483.64/945.94
  6. Step 6: Final answer
    x = 734.17

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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.