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Finding the Fourth Proportional to 1,313.70, 1,970.54 and 339.88

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Solution

The fourth proportional to 1,313.70, 1,970.54 and 339.88 is: 509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.70 : 1,970.54 = 339.88 : x
  2. Step 2: Convert to fraction form
    1,313.70/1,970.54 = 339.88/x
  3. Step 3: Cross multiply
    1,313.70x = 1,970.54 × 339.88
  4. Step 4: Simplify right side
    1,313.70x = 669,747.14
  5. Step 5: Solve for x
    x = 669,747.14/1,313.70
  6. Step 6: Final answer
    x = 509.82

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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.