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Finding the Fourth Proportional to 1,495.75, 2,243.63 and 713.38

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Solution

The fourth proportional to 1,495.75, 2,243.63 and 713.38 is: 1,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.75 : 2,243.63 = 713.38 : x
  2. Step 2: Convert to fraction form
    1,495.75/2,243.63 = 713.38/x
  3. Step 3: Cross multiply
    1,495.75x = 2,243.63 × 713.38
  4. Step 4: Simplify right side
    1,495.75x = 1,600,560.77
  5. Step 5: Solve for x
    x = 1,600,560.77/1,495.75
  6. Step 6: Final answer
    x = 1,070.07

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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.