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Finding the Fourth Proportional to 733.57, 1,011.93 and 513.07

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Solution

The fourth proportional to 733.57, 1,011.93 and 513.07 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.57 : 1,011.93 = 513.07 : x
  2. Step 2: Convert to fraction form
    733.57/1,011.93 = 513.07/x
  3. Step 3: Cross multiply
    733.57x = 1,011.93 × 513.07
  4. Step 4: Simplify right side
    733.57x = 519,190.93
  5. Step 5: Solve for x
    x = 519,190.93/733.57
  6. Step 6: Final answer
    x = 707.76

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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.