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Finding the Fourth Proportional to 733.55, 1,011.16 and 546.75

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Solution

The fourth proportional to 733.55, 1,011.16 and 546.75 is: 753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.55 : 1,011.16 = 546.75 : x
  2. Step 2: Convert to fraction form
    733.55/1,011.16 = 546.75/x
  3. Step 3: Cross multiply
    733.55x = 1,011.16 × 546.75
  4. Step 4: Simplify right side
    733.55x = 552,850.36
  5. Step 5: Solve for x
    x = 552,850.36/733.55
  6. Step 6: Final answer
    x = 753.67

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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.