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Finding the Fourth Proportional to 751.37, 1,036.89 and 419.80

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Solution

The fourth proportional to 751.37, 1,036.89 and 419.80 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.37 : 1,036.89 = 419.80 : x
  2. Step 2: Convert to fraction form
    751.37/1,036.89 = 419.80/x
  3. Step 3: Cross multiply
    751.37x = 1,036.89 × 419.80
  4. Step 4: Simplify right side
    751.37x = 435,281.24
  5. Step 5: Solve for x
    x = 435,281.24/751.37
  6. Step 6: Final answer
    x = 579.31

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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.