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Finding the Fourth Proportional to 1,497.96, 2,245.25 and 716.85

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Solution

The fourth proportional to 1,497.96, 2,245.25 and 716.85 is: 1,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.96 : 2,245.25 = 716.85 : x
  2. Step 2: Convert to fraction form
    1,497.96/2,245.25 = 716.85/x
  3. Step 3: Cross multiply
    1,497.96x = 2,245.25 × 716.85
  4. Step 4: Simplify right side
    1,497.96x = 1,609,509.25
  5. Step 5: Solve for x
    x = 1,609,509.25/1,497.96
  6. Step 6: Final answer
    x = 1,074.47

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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.