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Finding the Fourth Proportional to 1,435.40, 1,980.02 and 968.84

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Solution

The fourth proportional to 1,435.40, 1,980.02 and 968.84 is: 1,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.40 : 1,980.02 = 968.84 : x
  2. Step 2: Convert to fraction form
    1,435.40/1,980.02 = 968.84/x
  3. Step 3: Cross multiply
    1,435.40x = 1,980.02 × 968.84
  4. Step 4: Simplify right side
    1,435.40x = 1,918,322.58
  5. Step 5: Solve for x
    x = 1,918,322.58/1,435.40
  6. Step 6: Final answer
    x = 1,336.44

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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.