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Finding the Fourth Proportional to 1,310.48, 1,960.32 and 1,164.32

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Solution

The fourth proportional to 1,310.48, 1,960.32 and 1,164.32 is: 1,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.48 : 1,960.32 = 1,164.32 : x
  2. Step 2: Convert to fraction form
    1,310.48/1,960.32 = 1,164.32/x
  3. Step 3: Cross multiply
    1,310.48x = 1,960.32 × 1,164.32
  4. Step 4: Simplify right side
    1,310.48x = 2,282,439.78
  5. Step 5: Solve for x
    x = 2,282,439.78/1,310.48
  6. Step 6: Final answer
    x = 1,741.68

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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.