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Finding the Fourth Proportional to 962.88, 1,328.32 and 700.44

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Solution

The fourth proportional to 962.88, 1,328.32 and 700.44 is: 966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.88 : 1,328.32 = 700.44 : x
  2. Step 2: Convert to fraction form
    962.88/1,328.32 = 700.44/x
  3. Step 3: Cross multiply
    962.88x = 1,328.32 × 700.44
  4. Step 4: Simplify right side
    962.88x = 930,408.46
  5. Step 5: Solve for x
    x = 930,408.46/962.88
  6. Step 6: Final answer
    x = 966.28

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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.