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Finding the Fourth Proportional to 960.61, 1,325.62 and 562.54

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Solution

The fourth proportional to 960.61, 1,325.62 and 562.54 is: 776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.61 : 1,325.62 = 562.54 : x
  2. Step 2: Convert to fraction form
    960.61/1,325.62 = 562.54/x
  3. Step 3: Cross multiply
    960.61x = 1,325.62 × 562.54
  4. Step 4: Simplify right side
    960.61x = 745,711.46
  5. Step 5: Solve for x
    x = 745,711.46/960.61
  6. Step 6: Final answer
    x = 776.29

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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.