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Finding the Fourth Proportional to 945.47, 1,304.75 and 525.82

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Solution

The fourth proportional to 945.47, 1,304.75 and 525.82 is: 725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,304.75 = 525.82 : x
  2. Step 2: Convert to fraction form
    945.47/1,304.75 = 525.82/x
  3. Step 3: Cross multiply
    945.47x = 1,304.75 × 525.82
  4. Step 4: Simplify right side
    945.47x = 686,054.49
  5. Step 5: Solve for x
    x = 686,054.49/945.47
  6. Step 6: Final answer
    x = 725.63

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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.