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Finding the Fourth Proportional to 1,310.48, 1,965.84 and 541.04

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Solution

The fourth proportional to 1,310.48, 1,965.84 and 541.04 is: 811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.48 : 1,965.84 = 541.04 : x
  2. Step 2: Convert to fraction form
    1,310.48/1,965.84 = 541.04/x
  3. Step 3: Cross multiply
    1,310.48x = 1,965.84 × 541.04
  4. Step 4: Simplify right side
    1,310.48x = 1,063,598.07
  5. Step 5: Solve for x
    x = 1,063,598.07/1,310.48
  6. Step 6: Final answer
    x = 811.61

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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.