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Finding the Fourth Proportional to 945.23, 1,304.29 and 525.50

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Solution

The fourth proportional to 945.23, 1,304.29 and 525.50 is: 725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.23 : 1,304.29 = 525.50 : x
  2. Step 2: Convert to fraction form
    945.23/1,304.29 = 525.50/x
  3. Step 3: Cross multiply
    945.23x = 1,304.29 × 525.50
  4. Step 4: Simplify right side
    945.23x = 685,403.98
  5. Step 5: Solve for x
    x = 685,403.98/945.23
  6. Step 6: Final answer
    x = 725.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.