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Finding the Fourth Proportional to 962.59, 1,328.16 and 589.54

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Solution

The fourth proportional to 962.59, 1,328.16 and 589.54 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.59 : 1,328.16 = 589.54 : x
  2. Step 2: Convert to fraction form
    962.59/1,328.16 = 589.54/x
  3. Step 3: Cross multiply
    962.59x = 1,328.16 × 589.54
  4. Step 4: Simplify right side
    962.59x = 783,003.45
  5. Step 5: Solve for x
    x = 783,003.45/962.59
  6. Step 6: Final answer
    x = 813.43

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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.