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Finding the Fourth Proportional to 1,307.72, 1,958.07 and 690.14

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Solution

The fourth proportional to 1,307.72, 1,958.07 and 690.14 is: 1,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.72 : 1,958.07 = 690.14 : x
  2. Step 2: Convert to fraction form
    1,307.72/1,958.07 = 690.14/x
  3. Step 3: Cross multiply
    1,307.72x = 1,958.07 × 690.14
  4. Step 4: Simplify right side
    1,307.72x = 1,351,342.43
  5. Step 5: Solve for x
    x = 1,351,342.43/1,307.72
  6. Step 6: Final answer
    x = 1,033.36

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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.