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Finding the Fourth Proportional to 945.47, 1,305.39 and 591.53

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Solution

The fourth proportional to 945.47, 1,305.39 and 591.53 is: 816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,305.39 = 591.53 : x
  2. Step 2: Convert to fraction form
    945.47/1,305.39 = 591.53/x
  3. Step 3: Cross multiply
    945.47x = 1,305.39 × 591.53
  4. Step 4: Simplify right side
    945.47x = 772,177.35
  5. Step 5: Solve for x
    x = 772,177.35/945.47
  6. Step 6: Final answer
    x = 816.71

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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.