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Finding the Fourth Proportional to 1,235.86, 1,705.17 and 821.86

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Solution

The fourth proportional to 1,235.86, 1,705.17 and 821.86 is: 1,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.86 : 1,705.17 = 821.86 : x
  2. Step 2: Convert to fraction form
    1,235.86/1,705.17 = 821.86/x
  3. Step 3: Cross multiply
    1,235.86x = 1,705.17 × 821.86
  4. Step 4: Simplify right side
    1,235.86x = 1,401,411.02
  5. Step 5: Solve for x
    x = 1,401,411.02/1,235.86
  6. Step 6: Final answer
    x = 1,133.96

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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.