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Finding the Fourth Proportional to 755.20, 1,130.88 and 412.80

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Solution

The fourth proportional to 755.20, 1,130.88 and 412.80 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.20 : 1,130.88 = 412.80 : x
  2. Step 2: Convert to fraction form
    755.20/1,130.88 = 412.80/x
  3. Step 3: Cross multiply
    755.20x = 1,130.88 × 412.80
  4. Step 4: Simplify right side
    755.20x = 466,827.26
  5. Step 5: Solve for x
    x = 466,827.26/755.20
  6. Step 6: Final answer
    x = 618.15

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