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Finding the Fourth Proportional to 974.40, 1,460.28 and 427.05

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Solution

The fourth proportional to 974.40, 1,460.28 and 427.05 is: 640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.40 : 1,460.28 = 427.05 : x
  2. Step 2: Convert to fraction form
    974.40/1,460.28 = 427.05/x
  3. Step 3: Cross multiply
    974.40x = 1,460.28 × 427.05
  4. Step 4: Simplify right side
    974.40x = 623,612.57
  5. Step 5: Solve for x
    x = 623,612.57/974.40
  6. Step 6: Final answer
    x = 640.00

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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.