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Finding the Fourth Proportional to 965.48, 1,448.08 and 316.13

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Solution

The fourth proportional to 965.48, 1,448.08 and 316.13 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.48 : 1,448.08 = 316.13 : x
  2. Step 2: Convert to fraction form
    965.48/1,448.08 = 316.13/x
  3. Step 3: Cross multiply
    965.48x = 1,448.08 × 316.13
  4. Step 4: Simplify right side
    965.48x = 457,773.50
  5. Step 5: Solve for x
    x = 457,773.50/965.48
  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.