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Finding the Fourth Proportional to 964.93, 1,331.60 and 545.28

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Solution

The fourth proportional to 964.93, 1,331.60 and 545.28 is: 752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.93 : 1,331.60 = 545.28 : x
  2. Step 2: Convert to fraction form
    964.93/1,331.60 = 545.28/x
  3. Step 3: Cross multiply
    964.93x = 1,331.60 × 545.28
  4. Step 4: Simplify right side
    964.93x = 726,086.15
  5. Step 5: Solve for x
    x = 726,086.15/964.93
  6. Step 6: Final answer
    x = 752.47

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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.