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Finding the Fourth Proportional to 751.52, 1,126.32 and 386.48

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Solution

The fourth proportional to 751.52, 1,126.32 and 386.48 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.52 : 1,126.32 = 386.48 : x
  2. Step 2: Convert to fraction form
    751.52/1,126.32 = 386.48/x
  3. Step 3: Cross multiply
    751.52x = 1,126.32 × 386.48
  4. Step 4: Simplify right side
    751.52x = 435,300.15
  5. Step 5: Solve for x
    x = 435,300.15/751.52
  6. Step 6: Final answer
    x = 579.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.