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Finding the Fourth Proportional to 944.32, 1,416.47 and 457.03

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Solution

The fourth proportional to 944.32, 1,416.47 and 457.03 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.32 : 1,416.47 = 457.03 : x
  2. Step 2: Convert to fraction form
    944.32/1,416.47 = 457.03/x
  3. Step 3: Cross multiply
    944.32x = 1,416.47 × 457.03
  4. Step 4: Simplify right side
    944.32x = 647,369.28
  5. Step 5: Solve for x
    x = 647,369.28/944.32
  6. Step 6: Final answer
    x = 685.54

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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.