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Finding the Fourth Proportional to 733.06, 1,011.63 and 467.83

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Solution

The fourth proportional to 733.06, 1,011.63 and 467.83 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.06 : 1,011.63 = 467.83 : x
  2. Step 2: Convert to fraction form
    733.06/1,011.63 = 467.83/x
  3. Step 3: Cross multiply
    733.06x = 1,011.63 × 467.83
  4. Step 4: Simplify right side
    733.06x = 473,270.86
  5. Step 5: Solve for x
    x = 473,270.86/733.06
  6. Step 6: Final answer
    x = 645.61

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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.