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Finding the Fourth Proportional to 1,306.90, 1,959.81 and 690.22

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Solution

The fourth proportional to 1,306.90, 1,959.81 and 690.22 is: 1,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.90 : 1,959.81 = 690.22 : x
  2. Step 2: Convert to fraction form
    1,306.90/1,959.81 = 690.22/x
  3. Step 3: Cross multiply
    1,306.90x = 1,959.81 × 690.22
  4. Step 4: Simplify right side
    1,306.90x = 1,352,700.06
  5. Step 5: Solve for x
    x = 1,352,700.06/1,306.90
  6. Step 6: Final answer
    x = 1,035.04

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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.