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Finding the Fourth Proportional to 751.09, 1,036.51 and 419.54

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Solution

The fourth proportional to 751.09, 1,036.51 and 419.54 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.09 : 1,036.51 = 419.54 : x
  2. Step 2: Convert to fraction form
    751.09/1,036.51 = 419.54/x
  3. Step 3: Cross multiply
    751.09x = 1,036.51 × 419.54
  4. Step 4: Simplify right side
    751.09x = 434,853.53
  5. Step 5: Solve for x
    x = 434,853.53/751.09
  6. Step 6: Final answer
    x = 578.96

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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.