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Finding the Fourth Proportional to 942.93, 1,414.94 and 532.53

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Solution

The fourth proportional to 942.93, 1,414.94 and 532.53 is: 799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.93 : 1,414.94 = 532.53 : x
  2. Step 2: Convert to fraction form
    942.93/1,414.94 = 532.53/x
  3. Step 3: Cross multiply
    942.93x = 1,414.94 × 532.53
  4. Step 4: Simplify right side
    942.93x = 753,495.34
  5. Step 5: Solve for x
    x = 753,495.34/942.93
  6. Step 6: Final answer
    x = 799.10

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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.