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Finding the Fourth Proportional to 942.31, 1,300.76 and 917.47

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Solution

The fourth proportional to 942.31, 1,300.76 and 917.47 is: 1,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.31 : 1,300.76 = 917.47 : x
  2. Step 2: Convert to fraction form
    942.31/1,300.76 = 917.47/x
  3. Step 3: Cross multiply
    942.31x = 1,300.76 × 917.47
  4. Step 4: Simplify right side
    942.31x = 1,193,408.28
  5. Step 5: Solve for x
    x = 1,193,408.28/942.31
  6. Step 6: Final answer
    x = 1,266.47

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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.