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Finding the Fourth Proportional to 751.14, 1,036.32 and 419.50

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Solution

The fourth proportional to 751.14, 1,036.32 and 419.50 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.14 : 1,036.32 = 419.50 : x
  2. Step 2: Convert to fraction form
    751.14/1,036.32 = 419.50/x
  3. Step 3: Cross multiply
    751.14x = 1,036.32 × 419.50
  4. Step 4: Simplify right side
    751.14x = 434,736.24
  5. Step 5: Solve for x
    x = 434,736.24/751.14
  6. Step 6: Final answer
    x = 578.77

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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.