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Finding the Fourth Proportional to 751.16, 1,036.59 and 419.56

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Solution

The fourth proportional to 751.16, 1,036.59 and 419.56 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.16 : 1,036.59 = 419.56 : x
  2. Step 2: Convert to fraction form
    751.16/1,036.59 = 419.56/x
  3. Step 3: Cross multiply
    751.16x = 1,036.59 × 419.56
  4. Step 4: Simplify right side
    751.16x = 434,911.70
  5. Step 5: Solve for x
    x = 434,911.70/751.16
  6. Step 6: Final answer
    x = 578.99

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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.