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Finding the Fourth Proportional to 965.34, 1,332.06 and 545.60

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Solution

The fourth proportional to 965.34, 1,332.06 and 545.60 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.34 : 1,332.06 = 545.60 : x
  2. Step 2: Convert to fraction form
    965.34/1,332.06 = 545.60/x
  3. Step 3: Cross multiply
    965.34x = 1,332.06 × 545.60
  4. Step 4: Simplify right side
    965.34x = 726,771.94
  5. Step 5: Solve for x
    x = 726,771.94/965.34
  6. Step 6: Final answer
    x = 752.87

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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.