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Finding the Fourth Proportional to 733.80, 1,013.06 and 485.84

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Solution

The fourth proportional to 733.80, 1,013.06 and 485.84 is: 670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,013.06 = 485.84 : x
  2. Step 2: Convert to fraction form
    733.80/1,013.06 = 485.84/x
  3. Step 3: Cross multiply
    733.80x = 1,013.06 × 485.84
  4. Step 4: Simplify right side
    733.80x = 492,185.07
  5. Step 5: Solve for x
    x = 492,185.07/733.80
  6. Step 6: Final answer
    x = 670.73

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1.5x scale

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.