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Finding the Fourth Proportional to 975.20, 1,461.76 and 427.64

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Solution

The fourth proportional to 975.20, 1,461.76 and 427.64 is: 641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.20 : 1,461.76 = 427.64 : x
  2. Step 2: Convert to fraction form
    975.20/1,461.76 = 427.64/x
  3. Step 3: Cross multiply
    975.20x = 1,461.76 × 427.64
  4. Step 4: Simplify right side
    975.20x = 625,107.05
  5. Step 5: Solve for x
    x = 625,107.05/975.20
  6. Step 6: Final answer
    x = 641.00

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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.