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Finding the Fourth Proportional to 1,310.53, 1,965.99 and 694.08

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Solution

The fourth proportional to 1,310.53, 1,965.99 and 694.08 is: 1,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.53 : 1,965.99 = 694.08 : x
  2. Step 2: Convert to fraction form
    1,310.53/1,965.99 = 694.08/x
  3. Step 3: Cross multiply
    1,310.53x = 1,965.99 × 694.08
  4. Step 4: Simplify right side
    1,310.53x = 1,364,544.51
  5. Step 5: Solve for x
    x = 1,364,544.51/1,310.53
  6. Step 6: Final answer
    x = 1,041.22

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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.