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Finding the Fourth Proportional to 927.76, 1,281.42 and 706.60

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Solution

The fourth proportional to 927.76, 1,281.42 and 706.60 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.76 : 1,281.42 = 706.60 : x
  2. Step 2: Convert to fraction form
    927.76/1,281.42 = 706.60/x
  3. Step 3: Cross multiply
    927.76x = 1,281.42 × 706.60
  4. Step 4: Simplify right side
    927.76x = 905,451.37
  5. Step 5: Solve for x
    x = 905,451.37/927.76
  6. Step 6: Final answer
    x = 975.95

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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.