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Finding the Fourth Proportional to 1,310.56, 1,966.08 and 541.12

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Solution

The fourth proportional to 1,310.56, 1,966.08 and 541.12 is: 811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.56 : 1,966.08 = 541.12 : x
  2. Step 2: Convert to fraction form
    1,310.56/1,966.08 = 541.12/x
  3. Step 3: Cross multiply
    1,310.56x = 1,966.08 × 541.12
  4. Step 4: Simplify right side
    1,310.56x = 1,063,885.21
  5. Step 5: Solve for x
    x = 1,063,885.21/1,310.56
  6. Step 6: Final answer
    x = 811.78

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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.