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Finding the Fourth Proportional to 942.48, 1,410.93 and 633.54

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Solution

The fourth proportional to 942.48, 1,410.93 and 633.54 is: 948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.48 : 1,410.93 = 633.54 : x
  2. Step 2: Convert to fraction form
    942.48/1,410.93 = 633.54/x
  3. Step 3: Cross multiply
    942.48x = 1,410.93 × 633.54
  4. Step 4: Simplify right side
    942.48x = 893,880.59
  5. Step 5: Solve for x
    x = 893,880.59/942.48
  6. Step 6: Final answer
    x = 948.43

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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.