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Finding the Fourth Proportional to 1,164.96, 1,747.68 and 395.68

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Solution

The fourth proportional to 1,164.96, 1,747.68 and 395.68 is: 593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.96 : 1,747.68 = 395.68 : x
  2. Step 2: Convert to fraction form
    1,164.96/1,747.68 = 395.68/x
  3. Step 3: Cross multiply
    1,164.96x = 1,747.68 × 395.68
  4. Step 4: Simplify right side
    1,164.96x = 691,522.02
  5. Step 5: Solve for x
    x = 691,522.02/1,164.96
  6. Step 6: Final answer
    x = 593.60

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1.5x scale

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.