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Finding the Fourth Proportional to 1,305.91, 1,960.01 and 690.03

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Solution

The fourth proportional to 1,305.91, 1,960.01 and 690.03 is: 1,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.91 : 1,960.01 = 690.03 : x
  2. Step 2: Convert to fraction form
    1,305.91/1,960.01 = 690.03/x
  3. Step 3: Cross multiply
    1,305.91x = 1,960.01 × 690.03
  4. Step 4: Simplify right side
    1,305.91x = 1,352,465.70
  5. Step 5: Solve for x
    x = 1,352,465.70/1,305.91
  6. Step 6: Final answer
    x = 1,035.65

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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.