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Finding the Fourth Proportional to 945.07, 1,304.08 and 525.31

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Solution

The fourth proportional to 945.07, 1,304.08 and 525.31 is: 724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.07 : 1,304.08 = 525.31 : x
  2. Step 2: Convert to fraction form
    945.07/1,304.08 = 525.31/x
  3. Step 3: Cross multiply
    945.07x = 1,304.08 × 525.31
  4. Step 4: Simplify right side
    945.07x = 685,041.69
  5. Step 5: Solve for x
    x = 685,041.69/945.07
  6. Step 6: Final answer
    x = 724.86

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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.