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Finding the Fourth Proportional to 1,213.76, 1,820.32 and 348

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Solution

The fourth proportional to 1,213.76, 1,820.32 and 348 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.76 : 1,820.32 = 348 : x
  2. Step 2: Convert to fraction form
    1,213.76/1,820.32 = 348/x
  3. Step 3: Cross multiply
    1,213.76x = 1,820.32 × 348
  4. Step 4: Simplify right side
    1,213.76x = 633,471.36
  5. Step 5: Solve for x
    x = 633,471.36/1,213.76
  6. Step 6: Final answer
    x = 521.91

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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.