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Finding the Fourth Proportional to 1,313.64, 1,970.66 and 447.75

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Solution

The fourth proportional to 1,313.64, 1,970.66 and 447.75 is: 671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,970.66 = 447.75 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,970.66 = 447.75/x
  3. Step 3: Cross multiply
    1,313.64x = 1,970.66 × 447.75
  4. Step 4: Simplify right side
    1,313.64x = 882,364.13
  5. Step 5: Solve for x
    x = 882,364.13/1,313.64
  6. Step 6: Final answer
    x = 671.69

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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.