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Finding the Fourth Proportional to 965.74, 1,332.77 and 567.68

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Solution

The fourth proportional to 965.74, 1,332.77 and 567.68 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.74 : 1,332.77 = 567.68 : x
  2. Step 2: Convert to fraction form
    965.74/1,332.77 = 567.68/x
  3. Step 3: Cross multiply
    965.74x = 1,332.77 × 567.68
  4. Step 4: Simplify right side
    965.74x = 756,580.56
  5. Step 5: Solve for x
    x = 756,580.56/965.74
  6. Step 6: Final answer
    x = 783.42

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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.