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Finding the Fourth Proportional to 1,436.40, 1,980.18 and 963.45

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Solution

The fourth proportional to 1,436.40, 1,980.18 and 963.45 is: 1,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.40 : 1,980.18 = 963.45 : x
  2. Step 2: Convert to fraction form
    1,436.40/1,980.18 = 963.45/x
  3. Step 3: Cross multiply
    1,436.40x = 1,980.18 × 963.45
  4. Step 4: Simplify right side
    1,436.40x = 1,907,804.42
  5. Step 5: Solve for x
    x = 1,907,804.42/1,436.40
  6. Step 6: Final answer
    x = 1,328.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.