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Finding the Fourth Proportional to 733.15, 1,011.58 and 471.07

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Solution

The fourth proportional to 733.15, 1,011.58 and 471.07 is: 649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.15 : 1,011.58 = 471.07 : x
  2. Step 2: Convert to fraction form
    733.15/1,011.58 = 471.07/x
  3. Step 3: Cross multiply
    733.15x = 1,011.58 × 471.07
  4. Step 4: Simplify right side
    733.15x = 476,524.99
  5. Step 5: Solve for x
    x = 476,524.99/733.15
  6. Step 6: Final answer
    x = 649.97

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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.