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Finding the Fourth Proportional to 1,360.10, 2,040.42 and 435.59

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Solution

The fourth proportional to 1,360.10, 2,040.42 and 435.59 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.10 : 2,040.42 = 435.59 : x
  2. Step 2: Convert to fraction form
    1,360.10/2,040.42 = 435.59/x
  3. Step 3: Cross multiply
    1,360.10x = 2,040.42 × 435.59
  4. Step 4: Simplify right side
    1,360.10x = 888,786.55
  5. Step 5: Solve for x
    x = 888,786.55/1,360.10
  6. Step 6: Final answer
    x = 653.47

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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.