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Finding the Fourth Proportional to 1,306.58, 1,958.13 and 690.71

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Solution

The fourth proportional to 1,306.58, 1,958.13 and 690.71 is: 1,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.58 : 1,958.13 = 690.71 : x
  2. Step 2: Convert to fraction form
    1,306.58/1,958.13 = 690.71/x
  3. Step 3: Cross multiply
    1,306.58x = 1,958.13 × 690.71
  4. Step 4: Simplify right side
    1,306.58x = 1,352,490.18
  5. Step 5: Solve for x
    x = 1,352,490.18/1,306.58
  6. Step 6: Final answer
    x = 1,035.14

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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.