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Finding the Fourth Proportional to 733.99, 1,013.07 and 485.35

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Solution

The fourth proportional to 733.99, 1,013.07 and 485.35 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.99 : 1,013.07 = 485.35 : x
  2. Step 2: Convert to fraction form
    733.99/1,013.07 = 485.35/x
  3. Step 3: Cross multiply
    733.99x = 1,013.07 × 485.35
  4. Step 4: Simplify right side
    733.99x = 491,686.03
  5. Step 5: Solve for x
    x = 491,686.03/733.99
  6. Step 6: Final answer
    x = 669.88

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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.