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Finding the Fourth Proportional to 1,392.34, 2,087.76 and 662.08

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Solution

The fourth proportional to 1,392.34, 2,087.76 and 662.08 is: 992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.34 : 2,087.76 = 662.08 : x
  2. Step 2: Convert to fraction form
    1,392.34/2,087.76 = 662.08/x
  3. Step 3: Cross multiply
    1,392.34x = 2,087.76 × 662.08
  4. Step 4: Simplify right side
    1,392.34x = 1,382,264.14
  5. Step 5: Solve for x
    x = 1,382,264.14/1,392.34
  6. Step 6: Final answer
    x = 992.76

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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.