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Finding the Fourth Proportional to 965.85, 1,332.82 and 567.46

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Solution

The fourth proportional to 965.85, 1,332.82 and 567.46 is: 783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.85 : 1,332.82 = 567.46 : x
  2. Step 2: Convert to fraction form
    965.85/1,332.82 = 567.46/x
  3. Step 3: Cross multiply
    965.85x = 1,332.82 × 567.46
  4. Step 4: Simplify right side
    965.85x = 756,322.04
  5. Step 5: Solve for x
    x = 756,322.04/965.85
  6. Step 6: Final answer
    x = 783.06

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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.