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Finding the Fourth Proportional to 965, 1,448.14 and 357

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Solution

The fourth proportional to 965, 1,448.14 and 357 is: 535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    965 : 1,448.14 = 357 : x
  2. Step 2: Convert to fraction form
    965/1,448.14 = 357/x
  3. Step 3: Cross multiply
    965x = 1,448.14 × 357
  4. Step 4: Simplify right side
    965x = 516,985.98
  5. Step 5: Solve for x
    x = 516,985.98/965
  6. Step 6: Final answer
    x = 535.74

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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.