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Finding the Fourth Proportional to 972.37, 1,335.35 and 832.49

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Solution

The fourth proportional to 972.37, 1,335.35 and 832.49 is: 1,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.37 : 1,335.35 = 832.49 : x
  2. Step 2: Convert to fraction form
    972.37/1,335.35 = 832.49/x
  3. Step 3: Cross multiply
    972.37x = 1,335.35 × 832.49
  4. Step 4: Simplify right side
    972.37x = 1,111,665.52
  5. Step 5: Solve for x
    x = 1,111,665.52/972.37
  6. Step 6: Final answer
    x = 1,143.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.