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Finding the Fourth Proportional to 928.22, 1,282.71 and 706.76

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Solution

The fourth proportional to 928.22, 1,282.71 and 706.76 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.22 : 1,282.71 = 706.76 : x
  2. Step 2: Convert to fraction form
    928.22/1,282.71 = 706.76/x
  3. Step 3: Cross multiply
    928.22x = 1,282.71 × 706.76
  4. Step 4: Simplify right side
    928.22x = 906,561.71
  5. Step 5: Solve for x
    x = 906,561.71/928.22
  6. Step 6: Final answer
    x = 976.67

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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.