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Finding the Fourth Proportional to 755.20, 1,130.88 and 412.48

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Solution

The fourth proportional to 755.20, 1,130.88 and 412.48 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.20 : 1,130.88 = 412.48 : x
  2. Step 2: Convert to fraction form
    755.20/1,130.88 = 412.48/x
  3. Step 3: Cross multiply
    755.20x = 1,130.88 × 412.48
  4. Step 4: Simplify right side
    755.20x = 466,465.38
  5. Step 5: Solve for x
    x = 466,465.38/755.20
  6. Step 6: Final answer
    x = 617.67

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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.