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Finding the Fourth Proportional to 733.06, 1,011.66 and 533.93

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Solution

The fourth proportional to 733.06, 1,011.66 and 533.93 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.06 : 1,011.66 = 533.93 : x
  2. Step 2: Convert to fraction form
    733.06/1,011.66 = 533.93/x
  3. Step 3: Cross multiply
    733.06x = 1,011.66 × 533.93
  4. Step 4: Simplify right side
    733.06x = 540,155.62
  5. Step 5: Solve for x
    x = 540,155.62/733.06
  6. Step 6: Final answer
    x = 736.85

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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.