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Finding the Fourth Proportional to 954.21, 1,430.49 and 682.05

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Solution

The fourth proportional to 954.21, 1,430.49 and 682.05 is: 1,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.21 : 1,430.49 = 682.05 : x
  2. Step 2: Convert to fraction form
    954.21/1,430.49 = 682.05/x
  3. Step 3: Cross multiply
    954.21x = 1,430.49 × 682.05
  4. Step 4: Simplify right side
    954.21x = 975,665.70
  5. Step 5: Solve for x
    x = 975,665.70/954.21
  6. Step 6: Final answer
    x = 1,022.49

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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.