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Finding the Fourth Proportional to 965.76, 1,332.76 and 540.40

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Solution

The fourth proportional to 965.76, 1,332.76 and 540.40 is: 745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.76 : 1,332.76 = 540.40 : x
  2. Step 2: Convert to fraction form
    965.76/1,332.76 = 540.40/x
  3. Step 3: Cross multiply
    965.76x = 1,332.76 × 540.40
  4. Step 4: Simplify right side
    965.76x = 720,223.50
  5. Step 5: Solve for x
    x = 720,223.50/965.76
  6. Step 6: Final answer
    x = 745.76

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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.