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Finding the Fourth Proportional to 942.09, 1,411.20 and 648.60

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Solution

The fourth proportional to 942.09, 1,411.20 and 648.60 is: 971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.09 : 1,411.20 = 648.60 : x
  2. Step 2: Convert to fraction form
    942.09/1,411.20 = 648.60/x
  3. Step 3: Cross multiply
    942.09x = 1,411.20 × 648.60
  4. Step 4: Simplify right side
    942.09x = 915,304.32
  5. Step 5: Solve for x
    x = 915,304.32/942.09
  6. Step 6: Final answer
    x = 971.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.