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Finding the Fourth Proportional to 965.91, 1,436.43 and 935.15

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Solution

The fourth proportional to 965.91, 1,436.43 and 935.15 is: 1,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.91 : 1,436.43 = 935.15 : x
  2. Step 2: Convert to fraction form
    965.91/1,436.43 = 935.15/x
  3. Step 3: Cross multiply
    965.91x = 1,436.43 × 935.15
  4. Step 4: Simplify right side
    965.91x = 1,343,284.61
  5. Step 5: Solve for x
    x = 1,343,284.61/965.91
  6. Step 6: Final answer
    x = 1,390.70

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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.