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Finding the Fourth Proportional to 964.95, 1,331.64 and 522.86

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Solution

The fourth proportional to 964.95, 1,331.64 and 522.86 is: 721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.95 : 1,331.64 = 522.86 : x
  2. Step 2: Convert to fraction form
    964.95/1,331.64 = 522.86/x
  3. Step 3: Cross multiply
    964.95x = 1,331.64 × 522.86
  4. Step 4: Simplify right side
    964.95x = 696,252.43
  5. Step 5: Solve for x
    x = 696,252.43/964.95
  6. Step 6: Final answer
    x = 721.54

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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.