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Finding the Fourth Proportional to 944.64, 1,415.32 and 457.04

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Solution

The fourth proportional to 944.64, 1,415.32 and 457.04 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.64 : 1,415.32 = 457.04 : x
  2. Step 2: Convert to fraction form
    944.64/1,415.32 = 457.04/x
  3. Step 3: Cross multiply
    944.64x = 1,415.32 × 457.04
  4. Step 4: Simplify right side
    944.64x = 646,857.85
  5. Step 5: Solve for x
    x = 646,857.85/944.64
  6. Step 6: Final answer
    x = 684.77

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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.