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Finding the Fourth Proportional to 965.82, 1,332.53 and 592.21

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Solution

The fourth proportional to 965.82, 1,332.53 and 592.21 is: 817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.82 : 1,332.53 = 592.21 : x
  2. Step 2: Convert to fraction form
    965.82/1,332.53 = 592.21/x
  3. Step 3: Cross multiply
    965.82x = 1,332.53 × 592.21
  4. Step 4: Simplify right side
    965.82x = 789,130.93
  5. Step 5: Solve for x
    x = 789,130.93/965.82
  6. Step 6: Final answer
    x = 817.06

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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.