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Finding the Fourth Proportional to 966.68, 1,333.98 and 541.28

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Solution

The fourth proportional to 966.68, 1,333.98 and 541.28 is: 746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.68 : 1,333.98 = 541.28 : x
  2. Step 2: Convert to fraction form
    966.68/1,333.98 = 541.28/x
  3. Step 3: Cross multiply
    966.68x = 1,333.98 × 541.28
  4. Step 4: Simplify right side
    966.68x = 722,056.69
  5. Step 5: Solve for x
    x = 722,056.69/966.68
  6. Step 6: Final answer
    x = 746.94

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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.