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Finding the Fourth Proportional to 962.52, 1,329.12 and 609

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Solution

The fourth proportional to 962.52, 1,329.12 and 609 is: 840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.52 : 1,329.12 = 609 : x
  2. Step 2: Convert to fraction form
    962.52/1,329.12 = 609/x
  3. Step 3: Cross multiply
    962.52x = 1,329.12 × 609
  4. Step 4: Simplify right side
    962.52x = 809,434.08
  5. Step 5: Solve for x
    x = 809,434.08/962.52
  6. Step 6: Final answer
    x = 840.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.