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Finding the Fourth Proportional to 1,305.10, 1,958.10 and 574.90

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Solution

The fourth proportional to 1,305.10, 1,958.10 and 574.90 is: 862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.10 : 1,958.10 = 574.90 : x
  2. Step 2: Convert to fraction form
    1,305.10/1,958.10 = 574.90/x
  3. Step 3: Cross multiply
    1,305.10x = 1,958.10 × 574.90
  4. Step 4: Simplify right side
    1,305.10x = 1,125,711.69
  5. Step 5: Solve for x
    x = 1,125,711.69/1,305.10
  6. Step 6: Final answer
    x = 862.55

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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.