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Finding the Fourth Proportional to 1,164.24, 1,745.06 and 470.75

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Solution

The fourth proportional to 1,164.24, 1,745.06 and 470.75 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.24 : 1,745.06 = 470.75 : x
  2. Step 2: Convert to fraction form
    1,164.24/1,745.06 = 470.75/x
  3. Step 3: Cross multiply
    1,164.24x = 1,745.06 × 470.75
  4. Step 4: Simplify right side
    1,164.24x = 821,475.92
  5. Step 5: Solve for x
    x = 821,475.92/1,164.24
  6. Step 6: Final answer
    x = 705.59

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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.