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Finding the Fourth Proportional to 1,204.31, 1,662.10 and 706.99

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Solution

The fourth proportional to 1,204.31, 1,662.10 and 706.99 is: 975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.31 : 1,662.10 = 706.99 : x
  2. Step 2: Convert to fraction form
    1,204.31/1,662.10 = 706.99/x
  3. Step 3: Cross multiply
    1,204.31x = 1,662.10 × 706.99
  4. Step 4: Simplify right side
    1,204.31x = 1,175,091.04
  5. Step 5: Solve for x
    x = 1,175,091.04/1,204.31
  6. Step 6: Final answer
    x = 975.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.