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Finding the Fourth Proportional to 1,313.15, 1,969.57 and 339.17

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Solution

The fourth proportional to 1,313.15, 1,969.57 and 339.17 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.15 : 1,969.57 = 339.17 : x
  2. Step 2: Convert to fraction form
    1,313.15/1,969.57 = 339.17/x
  3. Step 3: Cross multiply
    1,313.15x = 1,969.57 × 339.17
  4. Step 4: Simplify right side
    1,313.15x = 668,017.36
  5. Step 5: Solve for x
    x = 668,017.36/1,313.15
  6. Step 6: Final answer
    x = 508.71

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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.