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Finding the Fourth Proportional to 975.30, 1,461.60 and 426.96

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Solution

The fourth proportional to 975.30, 1,461.60 and 426.96 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.30 : 1,461.60 = 426.96 : x
  2. Step 2: Convert to fraction form
    975.30/1,461.60 = 426.96/x
  3. Step 3: Cross multiply
    975.30x = 1,461.60 × 426.96
  4. Step 4: Simplify right side
    975.30x = 624,044.74
  5. Step 5: Solve for x
    x = 624,044.74/975.30
  6. Step 6: Final answer
    x = 639.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.