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Finding the Fourth Proportional to 1,313.84, 1,969.52 and 610.32

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Solution

The fourth proportional to 1,313.84, 1,969.52 and 610.32 is: 914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.84 : 1,969.52 = 610.32 : x
  2. Step 2: Convert to fraction form
    1,313.84/1,969.52 = 610.32/x
  3. Step 3: Cross multiply
    1,313.84x = 1,969.52 × 610.32
  4. Step 4: Simplify right side
    1,313.84x = 1,202,037.45
  5. Step 5: Solve for x
    x = 1,202,037.45/1,313.84
  6. Step 6: Final answer
    x = 914.90

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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.