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Finding the Fourth Proportional to 1,171.26, 1,752.08 and 963.50

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Solution

The fourth proportional to 1,171.26, 1,752.08 and 963.50 is: 1,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.26 : 1,752.08 = 963.50 : x
  2. Step 2: Convert to fraction form
    1,171.26/1,752.08 = 963.50/x
  3. Step 3: Cross multiply
    1,171.26x = 1,752.08 × 963.50
  4. Step 4: Simplify right side
    1,171.26x = 1,688,115.50
  5. Step 5: Solve for x
    x = 1,688,115.50/1,171.26
  6. Step 6: Final answer
    x = 1,441.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.