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Finding the Fourth Proportional to 1,492.69, 2,060.16 and 863.11

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Solution

The fourth proportional to 1,492.69, 2,060.16 and 863.11 is: 1,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.69 : 2,060.16 = 863.11 : x
  2. Step 2: Convert to fraction form
    1,492.69/2,060.16 = 863.11/x
  3. Step 3: Cross multiply
    1,492.69x = 2,060.16 × 863.11
  4. Step 4: Simplify right side
    1,492.69x = 1,778,144.70
  5. Step 5: Solve for x
    x = 1,778,144.70/1,492.69
  6. Step 6: Final answer
    x = 1,191.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.