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Finding the Fourth Proportional to 945.35, 1,304.48 and 591.78

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Solution

The fourth proportional to 945.35, 1,304.48 and 591.78 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.35 : 1,304.48 = 591.78 : x
  2. Step 2: Convert to fraction form
    945.35/1,304.48 = 591.78/x
  3. Step 3: Cross multiply
    945.35x = 1,304.48 × 591.78
  4. Step 4: Simplify right side
    945.35x = 771,962.22
  5. Step 5: Solve for x
    x = 771,962.22/945.35
  6. Step 6: Final answer
    x = 816.59

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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.