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Finding the Fourth Proportional to 966.09, 1,436.71 and 935.34

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Solution

The fourth proportional to 966.09, 1,436.71 and 935.34 is: 1,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.09 : 1,436.71 = 935.34 : x
  2. Step 2: Convert to fraction form
    966.09/1,436.71 = 935.34/x
  3. Step 3: Cross multiply
    966.09x = 1,436.71 × 935.34
  4. Step 4: Simplify right side
    966.09x = 1,343,812.33
  5. Step 5: Solve for x
    x = 1,343,812.33/966.09
  6. Step 6: Final answer
    x = 1,390.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.