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Finding the Fourth Proportional to 965.76, 1,332.66 and 567.48

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Solution

The fourth proportional to 965.76, 1,332.66 and 567.48 is: 783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.76 : 1,332.66 = 567.48 : x
  2. Step 2: Convert to fraction form
    965.76/1,332.66 = 567.48/x
  3. Step 3: Cross multiply
    965.76x = 1,332.66 × 567.48
  4. Step 4: Simplify right side
    965.76x = 756,257.90
  5. Step 5: Solve for x
    x = 756,257.90/965.76
  6. Step 6: Final answer
    x = 783.07

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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.