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Finding the Fourth Proportional to 944.88, 1,416.12 and 457.68

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Solution

The fourth proportional to 944.88, 1,416.12 and 457.68 is: 685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.88 : 1,416.12 = 457.68 : x
  2. Step 2: Convert to fraction form
    944.88/1,416.12 = 457.68/x
  3. Step 3: Cross multiply
    944.88x = 1,416.12 × 457.68
  4. Step 4: Simplify right side
    944.88x = 648,129.80
  5. Step 5: Solve for x
    x = 648,129.80/944.88
  6. Step 6: Final answer
    x = 685.94

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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.