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Finding the Fourth Proportional to 965.61, 1,332.53 and 523.50

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Solution

The fourth proportional to 965.61, 1,332.53 and 523.50 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.61 : 1,332.53 = 523.50 : x
  2. Step 2: Convert to fraction form
    965.61/1,332.53 = 523.50/x
  3. Step 3: Cross multiply
    965.61x = 1,332.53 × 523.50
  4. Step 4: Simplify right side
    965.61x = 697,579.46
  5. Step 5: Solve for x
    x = 697,579.46/965.61
  6. Step 6: Final answer
    x = 722.42

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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.