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Finding the Fourth Proportional to 962.89, 1,328.64 and 830.28

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Solution

The fourth proportional to 962.89, 1,328.64 and 830.28 is: 1,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.89 : 1,328.64 = 830.28 : x
  2. Step 2: Convert to fraction form
    962.89/1,328.64 = 830.28/x
  3. Step 3: Cross multiply
    962.89x = 1,328.64 × 830.28
  4. Step 4: Simplify right side
    962.89x = 1,103,145.09
  5. Step 5: Solve for x
    x = 1,103,145.09/962.89
  6. Step 6: Final answer
    x = 1,145.66

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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.