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Finding the Fourth Proportional to 944.49, 1,416.03 and 505.72

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Solution

The fourth proportional to 944.49, 1,416.03 and 505.72 is: 758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.49 : 1,416.03 = 505.72 : x
  2. Step 2: Convert to fraction form
    944.49/1,416.03 = 505.72/x
  3. Step 3: Cross multiply
    944.49x = 1,416.03 × 505.72
  4. Step 4: Simplify right side
    944.49x = 716,114.69
  5. Step 5: Solve for x
    x = 716,114.69/944.49
  6. Step 6: Final answer
    x = 758.20

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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.