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Finding the Fourth Proportional to 1,164.92, 1,747.67 and 471.60

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Solution

The fourth proportional to 1,164.92, 1,747.67 and 471.60 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.92 : 1,747.67 = 471.60 : x
  2. Step 2: Convert to fraction form
    1,164.92/1,747.67 = 471.60/x
  3. Step 3: Cross multiply
    1,164.92x = 1,747.67 × 471.60
  4. Step 4: Simplify right side
    1,164.92x = 824,198.81
  5. Step 5: Solve for x
    x = 824,198.81/1,164.92
  6. Step 6: Final answer
    x = 707.52

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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.