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Finding the Fourth Proportional to 942.18, 1,410.98 and 648.86

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Solution

The fourth proportional to 942.18, 1,410.98 and 648.86 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.18 : 1,410.98 = 648.86 : x
  2. Step 2: Convert to fraction form
    942.18/1,410.98 = 648.86/x
  3. Step 3: Cross multiply
    942.18x = 1,410.98 × 648.86
  4. Step 4: Simplify right side
    942.18x = 915,528.48
  5. Step 5: Solve for x
    x = 915,528.48/942.18
  6. Step 6: Final answer
    x = 971.71

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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.