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Finding the Fourth Proportional to 974.46, 1,461.43 and 666.26

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Solution

The fourth proportional to 974.46, 1,461.43 and 666.26 is: 999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.46 : 1,461.43 = 666.26 : x
  2. Step 2: Convert to fraction form
    974.46/1,461.43 = 666.26/x
  3. Step 3: Cross multiply
    974.46x = 1,461.43 × 666.26
  4. Step 4: Simplify right side
    974.46x = 973,692.35
  5. Step 5: Solve for x
    x = 973,692.35/974.46
  6. Step 6: Final answer
    x = 999.21

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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.