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Finding the Fourth Proportional to 1,126.65, 1,688.83 and 761.48

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Solution

The fourth proportional to 1,126.65, 1,688.83 and 761.48 is: 1,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.65 : 1,688.83 = 761.48 : x
  2. Step 2: Convert to fraction form
    1,126.65/1,688.83 = 761.48/x
  3. Step 3: Cross multiply
    1,126.65x = 1,688.83 × 761.48
  4. Step 4: Simplify right side
    1,126.65x = 1,285,999.92
  5. Step 5: Solve for x
    x = 1,285,999.92/1,126.65
  6. Step 6: Final answer
    x = 1,141.44

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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.