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Finding the Fourth Proportional to 944.19, 1,416.57 and 457.26

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Solution

The fourth proportional to 944.19, 1,416.57 and 457.26 is: 686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.19 : 1,416.57 = 457.26 : x
  2. Step 2: Convert to fraction form
    944.19/1,416.57 = 457.26/x
  3. Step 3: Cross multiply
    944.19x = 1,416.57 × 457.26
  4. Step 4: Simplify right side
    944.19x = 647,740.80
  5. Step 5: Solve for x
    x = 647,740.80/944.19
  6. Step 6: Final answer
    x = 686.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.