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Finding the Fourth Proportional to 944.42, 1,416.74 and 457.13

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Solution

The fourth proportional to 944.42, 1,416.74 and 457.13 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.42 : 1,416.74 = 457.13 : x
  2. Step 2: Convert to fraction form
    944.42/1,416.74 = 457.13/x
  3. Step 3: Cross multiply
    944.42x = 1,416.74 × 457.13
  4. Step 4: Simplify right side
    944.42x = 647,624.99
  5. Step 5: Solve for x
    x = 647,624.99/944.42
  6. Step 6: Final answer
    x = 685.74

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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.