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Finding the Fourth Proportional to 966.25, 1,436.95 and 935.50

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Solution

The fourth proportional to 966.25, 1,436.95 and 935.50 is: 1,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.25 : 1,436.95 = 935.50 : x
  2. Step 2: Convert to fraction form
    966.25/1,436.95 = 935.50/x
  3. Step 3: Cross multiply
    966.25x = 1,436.95 × 935.50
  4. Step 4: Simplify right side
    966.25x = 1,344,254.86
  5. Step 5: Solve for x
    x = 1,344,254.86/966.25
  6. Step 6: Final answer
    x = 1,391.21

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Why These Related Problems?

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