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Finding the Fourth Proportional to 733.07, 1,011.63 and 546.72

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Solution

The fourth proportional to 733.07, 1,011.63 and 546.72 is: 754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.07 : 1,011.63 = 546.72 : x
  2. Step 2: Convert to fraction form
    733.07/1,011.63 = 546.72/x
  3. Step 3: Cross multiply
    733.07x = 1,011.63 × 546.72
  4. Step 4: Simplify right side
    733.07x = 553,078.35
  5. Step 5: Solve for x
    x = 553,078.35/733.07
  6. Step 6: Final answer
    x = 754.47

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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.