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Finding the Fourth Proportional to 1,305.12, 1,957.08 and 757.46

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Solution

The fourth proportional to 1,305.12, 1,957.08 and 757.46 is: 1,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.12 : 1,957.08 = 757.46 : x
  2. Step 2: Convert to fraction form
    1,305.12/1,957.08 = 757.46/x
  3. Step 3: Cross multiply
    1,305.12x = 1,957.08 × 757.46
  4. Step 4: Simplify right side
    1,305.12x = 1,482,409.82
  5. Step 5: Solve for x
    x = 1,482,409.82/1,305.12
  6. Step 6: Final answer
    x = 1,135.84

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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.