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Finding the Fourth Proportional to 909.21, 1,254.75 and 516.36

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Solution

The fourth proportional to 909.21, 1,254.75 and 516.36 is: 712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.21 : 1,254.75 = 516.36 : x
  2. Step 2: Convert to fraction form
    909.21/1,254.75 = 516.36/x
  3. Step 3: Cross multiply
    909.21x = 1,254.75 × 516.36
  4. Step 4: Simplify right side
    909.21x = 647,902.71
  5. Step 5: Solve for x
    x = 647,902.71/909.21
  6. Step 6: Final answer
    x = 712.60

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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.