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Finding the Fourth Proportional to 945.86, 1,305.34 and 572.87

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Solution

The fourth proportional to 945.86, 1,305.34 and 572.87 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.86 : 1,305.34 = 572.87 : x
  2. Step 2: Convert to fraction form
    945.86/1,305.34 = 572.87/x
  3. Step 3: Cross multiply
    945.86x = 1,305.34 × 572.87
  4. Step 4: Simplify right side
    945.86x = 747,785.43
  5. Step 5: Solve for x
    x = 747,785.43/945.86
  6. Step 6: Final answer
    x = 790.59

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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.