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Finding the Fourth Proportional to 934.35, 1,289.48 and 712.92

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Solution

The fourth proportional to 934.35, 1,289.48 and 712.92 is: 983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.35 : 1,289.48 = 712.92 : x
  2. Step 2: Convert to fraction form
    934.35/1,289.48 = 712.92/x
  3. Step 3: Cross multiply
    934.35x = 1,289.48 × 712.92
  4. Step 4: Simplify right side
    934.35x = 919,292.52
  5. Step 5: Solve for x
    x = 919,292.52/934.35
  6. Step 6: Final answer
    x = 983.88

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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.