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Finding the Fourth Proportional to 1,234.62, 1,703.43 and 971.82

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Solution

The fourth proportional to 1,234.62, 1,703.43 and 971.82 is: 1,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.62 : 1,703.43 = 971.82 : x
  2. Step 2: Convert to fraction form
    1,234.62/1,703.43 = 971.82/x
  3. Step 3: Cross multiply
    1,234.62x = 1,703.43 × 971.82
  4. Step 4: Simplify right side
    1,234.62x = 1,655,427.34
  5. Step 5: Solve for x
    x = 1,655,427.34/1,234.62
  6. Step 6: Final answer
    x = 1,340.84

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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.