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Finding the Fourth Proportional to 925.97, 1,277.51 and 713.35

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Solution

The fourth proportional to 925.97, 1,277.51 and 713.35 is: 984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.97 : 1,277.51 = 713.35 : x
  2. Step 2: Convert to fraction form
    925.97/1,277.51 = 713.35/x
  3. Step 3: Cross multiply
    925.97x = 1,277.51 × 713.35
  4. Step 4: Simplify right side
    925.97x = 911,311.76
  5. Step 5: Solve for x
    x = 911,311.76/925.97
  6. Step 6: Final answer
    x = 984.17

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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.