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Finding the Fourth Proportional to 805.51, 1,206.70 and 496.45

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Solution

The fourth proportional to 805.51, 1,206.70 and 496.45 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.51 : 1,206.70 = 496.45 : x
  2. Step 2: Convert to fraction form
    805.51/1,206.70 = 496.45/x
  3. Step 3: Cross multiply
    805.51x = 1,206.70 × 496.45
  4. Step 4: Simplify right side
    805.51x = 599,066.22
  5. Step 5: Solve for x
    x = 599,066.22/805.51
  6. Step 6: Final answer
    x = 743.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.