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Finding the Fourth Proportional to 945.06, 1,304.15 and 525.41

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Solution

The fourth proportional to 945.06, 1,304.15 and 525.41 is: 725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.06 : 1,304.15 = 525.41 : x
  2. Step 2: Convert to fraction form
    945.06/1,304.15 = 525.41/x
  3. Step 3: Cross multiply
    945.06x = 1,304.15 × 525.41
  4. Step 4: Simplify right side
    945.06x = 685,206.93
  5. Step 5: Solve for x
    x = 685,206.93/945.06
  6. Step 6: Final answer
    x = 725.04

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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.