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Finding the Fourth Proportional to 962.16, 1,327.82 and 589.31

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Solution

The fourth proportional to 962.16, 1,327.82 and 589.31 is: 813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.16 : 1,327.82 = 589.31 : x
  2. Step 2: Convert to fraction form
    962.16/1,327.82 = 589.31/x
  3. Step 3: Cross multiply
    962.16x = 1,327.82 × 589.31
  4. Step 4: Simplify right side
    962.16x = 782,488.02
  5. Step 5: Solve for x
    x = 782,488.02/962.16
  6. Step 6: Final answer
    x = 813.26

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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.