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Finding the Fourth Proportional to 966.34, 1,333.65 and 546.70

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Solution

The fourth proportional to 966.34, 1,333.65 and 546.70 is: 754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.34 : 1,333.65 = 546.70 : x
  2. Step 2: Convert to fraction form
    966.34/1,333.65 = 546.70/x
  3. Step 3: Cross multiply
    966.34x = 1,333.65 × 546.70
  4. Step 4: Simplify right side
    966.34x = 729,106.46
  5. Step 5: Solve for x
    x = 729,106.46/966.34
  6. Step 6: Final answer
    x = 754.50

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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.