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Finding the Fourth Proportional to 751.26, 1,036.74 and 419.71

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Solution

The fourth proportional to 751.26, 1,036.74 and 419.71 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.26 : 1,036.74 = 419.71 : x
  2. Step 2: Convert to fraction form
    751.26/1,036.74 = 419.71/x
  3. Step 3: Cross multiply
    751.26x = 1,036.74 × 419.71
  4. Step 4: Simplify right side
    751.26x = 435,130.15
  5. Step 5: Solve for x
    x = 435,130.15/751.26
  6. Step 6: Final answer
    x = 579.20

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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.