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Finding the Fourth Proportional to 945.23, 1,304.15 and 595.71

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Solution

The fourth proportional to 945.23, 1,304.15 and 595.71 is: 821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.23 : 1,304.15 = 595.71 : x
  2. Step 2: Convert to fraction form
    945.23/1,304.15 = 595.71/x
  3. Step 3: Cross multiply
    945.23x = 1,304.15 × 595.71
  4. Step 4: Simplify right side
    945.23x = 776,892.22
  5. Step 5: Solve for x
    x = 776,892.22/945.23
  6. Step 6: Final answer
    x = 821.91

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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.