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Finding the Fourth Proportional to 974.64, 1,460.88 and 419.64

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Solution

The fourth proportional to 974.64, 1,460.88 and 419.64 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.64 : 1,460.88 = 419.64 : x
  2. Step 2: Convert to fraction form
    974.64/1,460.88 = 419.64/x
  3. Step 3: Cross multiply
    974.64x = 1,460.88 × 419.64
  4. Step 4: Simplify right side
    974.64x = 613,043.68
  5. Step 5: Solve for x
    x = 613,043.68/974.64
  6. Step 6: Final answer
    x = 628.99

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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.