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Finding the Fourth Proportional to 1,492.62, 2,238.84 and 713.17

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Solution

The fourth proportional to 1,492.62, 2,238.84 and 713.17 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.62 : 2,238.84 = 713.17 : x
  2. Step 2: Convert to fraction form
    1,492.62/2,238.84 = 713.17/x
  3. Step 3: Cross multiply
    1,492.62x = 2,238.84 × 713.17
  4. Step 4: Simplify right side
    1,492.62x = 1,596,676.32
  5. Step 5: Solve for x
    x = 1,596,676.32/1,492.62
  6. Step 6: Final answer
    x = 1,069.71

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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.