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Finding the Fourth Proportional to 1,164.92, 1,748.14 and 775.36

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Solution

The fourth proportional to 1,164.92, 1,748.14 and 775.36 is: 1,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.92 : 1,748.14 = 775.36 : x
  2. Step 2: Convert to fraction form
    1,164.92/1,748.14 = 775.36/x
  3. Step 3: Cross multiply
    1,164.92x = 1,748.14 × 775.36
  4. Step 4: Simplify right side
    1,164.92x = 1,355,437.83
  5. Step 5: Solve for x
    x = 1,355,437.83/1,164.92
  6. Step 6: Final answer
    x = 1,163.55

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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.