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Finding the Fourth Proportional to 1,164.26, 1,607.01 and 744.86

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Solution

The fourth proportional to 1,164.26, 1,607.01 and 744.86 is: 1,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.26 : 1,607.01 = 744.86 : x
  2. Step 2: Convert to fraction form
    1,164.26/1,607.01 = 744.86/x
  3. Step 3: Cross multiply
    1,164.26x = 1,607.01 × 744.86
  4. Step 4: Simplify right side
    1,164.26x = 1,196,989.43
  5. Step 5: Solve for x
    x = 1,196,989.43/1,164.26
  6. Step 6: Final answer
    x = 1,028.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.