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Finding the Fourth Proportional to 944.39, 1,416.57 and 512.39

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Solution

The fourth proportional to 944.39, 1,416.57 and 512.39 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.39 : 1,416.57 = 512.39 : x
  2. Step 2: Convert to fraction form
    944.39/1,416.57 = 512.39/x
  3. Step 3: Cross multiply
    944.39x = 1,416.57 × 512.39
  4. Step 4: Simplify right side
    944.39x = 725,829.22
  5. Step 5: Solve for x
    x = 725,829.22/944.39
  6. Step 6: Final answer
    x = 768.57

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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.