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Finding the Fourth Proportional to 1,313.36, 1,970.11 and 339.47

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Solution

The fourth proportional to 1,313.36, 1,970.11 and 339.47 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.36 : 1,970.11 = 339.47 : x
  2. Step 2: Convert to fraction form
    1,313.36/1,970.11 = 339.47/x
  3. Step 3: Cross multiply
    1,313.36x = 1,970.11 × 339.47
  4. Step 4: Simplify right side
    1,313.36x = 668,793.24
  5. Step 5: Solve for x
    x = 668,793.24/1,313.36
  6. Step 6: Final answer
    x = 509.22

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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.