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Finding the Fourth Proportional to 944.19, 1,416.69 and 457.11

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Solution

The fourth proportional to 944.19, 1,416.69 and 457.11 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.19 : 1,416.69 = 457.11 : x
  2. Step 2: Convert to fraction form
    944.19/1,416.69 = 457.11/x
  3. Step 3: Cross multiply
    944.19x = 1,416.69 × 457.11
  4. Step 4: Simplify right side
    944.19x = 647,583.17
  5. Step 5: Solve for x
    x = 647,583.17/944.19
  6. Step 6: Final answer
    x = 685.86

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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.