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Finding the Fourth Proportional to 964.98, 1,435.86 and 961.74

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Solution

The fourth proportional to 964.98, 1,435.86 and 961.74 is: 1,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.98 : 1,435.86 = 961.74 : x
  2. Step 2: Convert to fraction form
    964.98/1,435.86 = 961.74/x
  3. Step 3: Cross multiply
    964.98x = 1,435.86 × 961.74
  4. Step 4: Simplify right side
    964.98x = 1,380,924.00
  5. Step 5: Solve for x
    x = 1,380,924.00/964.98
  6. Step 6: Final answer
    x = 1,431.04

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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.