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Finding the Fourth Proportional to 1,049.55, 1,580.57 and 914.23

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Solution

The fourth proportional to 1,049.55, 1,580.57 and 914.23 is: 1,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.55 : 1,580.57 = 914.23 : x
  2. Step 2: Convert to fraction form
    1,049.55/1,580.57 = 914.23/x
  3. Step 3: Cross multiply
    1,049.55x = 1,580.57 × 914.23
  4. Step 4: Simplify right side
    1,049.55x = 1,444,992.04
  5. Step 5: Solve for x
    x = 1,444,992.04/1,049.55
  6. Step 6: Final answer
    x = 1,376.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.