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Finding the Fourth Proportional to 942.76, 1,300.22 and 606.72

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Solution

The fourth proportional to 942.76, 1,300.22 and 606.72 is: 836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.76 : 1,300.22 = 606.72 : x
  2. Step 2: Convert to fraction form
    942.76/1,300.22 = 606.72/x
  3. Step 3: Cross multiply
    942.76x = 1,300.22 × 606.72
  4. Step 4: Simplify right side
    942.76x = 788,859.94
  5. Step 5: Solve for x
    x = 788,859.94/942.76
  6. Step 6: Final answer
    x = 836.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.