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Finding the Fourth Proportional to 1,204.10, 1,661.62 and 706.98

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Solution

The fourth proportional to 1,204.10, 1,661.62 and 706.98 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.10 : 1,661.62 = 706.98 : x
  2. Step 2: Convert to fraction form
    1,204.10/1,661.62 = 706.98/x
  3. Step 3: Cross multiply
    1,204.10x = 1,661.62 × 706.98
  4. Step 4: Simplify right side
    1,204.10x = 1,174,732.11
  5. Step 5: Solve for x
    x = 1,174,732.11/1,204.10
  6. Step 6: Final answer
    x = 975.61

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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.