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Finding the Fourth Proportional to 965.49, 1,448.37 and 316.07

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Solution

The fourth proportional to 965.49, 1,448.37 and 316.07 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.49 : 1,448.37 = 316.07 : x
  2. Step 2: Convert to fraction form
    965.49/1,448.37 = 316.07/x
  3. Step 3: Cross multiply
    965.49x = 1,448.37 × 316.07
  4. Step 4: Simplify right side
    965.49x = 457,779.06
  5. Step 5: Solve for x
    x = 457,779.06/965.49
  6. Step 6: Final answer
    x = 474.14

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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.