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Finding the Fourth Proportional to 966.51, 1,333.77 and 546.87

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Solution

The fourth proportional to 966.51, 1,333.77 and 546.87 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.51 : 1,333.77 = 546.87 : x
  2. Step 2: Convert to fraction form
    966.51/1,333.77 = 546.87/x
  3. Step 3: Cross multiply
    966.51x = 1,333.77 × 546.87
  4. Step 4: Simplify right side
    966.51x = 729,398.80
  5. Step 5: Solve for x
    x = 729,398.80/966.51
  6. Step 6: Final answer
    x = 754.67

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Why These Related Problems?

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