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Finding the Fourth Proportional to 965.21, 1,331.79 and 592.27

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Solution

The fourth proportional to 965.21, 1,331.79 and 592.27 is: 817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.21 : 1,331.79 = 592.27 : x
  2. Step 2: Convert to fraction form
    965.21/1,331.79 = 592.27/x
  3. Step 3: Cross multiply
    965.21x = 1,331.79 × 592.27
  4. Step 4: Simplify right side
    965.21x = 788,779.26
  5. Step 5: Solve for x
    x = 788,779.26/965.21
  6. Step 6: Final answer
    x = 817.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.