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Finding the Fourth Proportional to 965.02, 1,331.66 and 545.39

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Solution

The fourth proportional to 965.02, 1,331.66 and 545.39 is: 752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.02 : 1,331.66 = 545.39 : x
  2. Step 2: Convert to fraction form
    965.02/1,331.66 = 545.39/x
  3. Step 3: Cross multiply
    965.02x = 1,331.66 × 545.39
  4. Step 4: Simplify right side
    965.02x = 726,264.66
  5. Step 5: Solve for x
    x = 726,264.66/965.02
  6. Step 6: Final answer
    x = 752.59

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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.