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Finding the Fourth Proportional to 945.83, 1,305.05 and 552.78

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Solution

The fourth proportional to 945.83, 1,305.05 and 552.78 is: 762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,305.05 = 552.78 : x
  2. Step 2: Convert to fraction form
    945.83/1,305.05 = 552.78/x
  3. Step 3: Cross multiply
    945.83x = 1,305.05 × 552.78
  4. Step 4: Simplify right side
    945.83x = 721,402.03
  5. Step 5: Solve for x
    x = 721,402.03/945.83
  6. Step 6: Final answer
    x = 762.72

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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.