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Finding the Fourth Proportional to 965.53, 1,332.42 and 523.42

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Solution

The fourth proportional to 965.53, 1,332.42 and 523.42 is: 722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.53 : 1,332.42 = 523.42 : x
  2. Step 2: Convert to fraction form
    965.53/1,332.42 = 523.42/x
  3. Step 3: Cross multiply
    965.53x = 1,332.42 × 523.42
  4. Step 4: Simplify right side
    965.53x = 697,411.95
  5. Step 5: Solve for x
    x = 697,411.95/965.53
  6. Step 6: Final answer
    x = 722.31

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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.