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Finding the Fourth Proportional to 874.84, 1,312.26 and 821.38

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Solution

The fourth proportional to 874.84, 1,312.26 and 821.38 is: 1,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.84 : 1,312.26 = 821.38 : x
  2. Step 2: Convert to fraction form
    874.84/1,312.26 = 821.38/x
  3. Step 3: Cross multiply
    874.84x = 1,312.26 × 821.38
  4. Step 4: Simplify right side
    874.84x = 1,077,864.12
  5. Step 5: Solve for x
    x = 1,077,864.12/874.84
  6. Step 6: Final answer
    x = 1,232.07

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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.