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Finding the Fourth Proportional to 1,164.27, 1,745.85 and 470.76

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Solution

The fourth proportional to 1,164.27, 1,745.85 and 470.76 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.27 : 1,745.85 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,164.27/1,745.85 = 470.76/x
  3. Step 3: Cross multiply
    1,164.27x = 1,745.85 × 470.76
  4. Step 4: Simplify right side
    1,164.27x = 821,881.38
  5. Step 5: Solve for x
    x = 821,881.38/1,164.27
  6. Step 6: Final answer
    x = 705.92

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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.