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Finding the Fourth Proportional to 840.20, 1,160.04 and 619.40

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Solution

The fourth proportional to 840.20, 1,160.04 and 619.40 is: 855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,160.04 = 619.40 : x
  2. Step 2: Convert to fraction form
    840.20/1,160.04 = 619.40/x
  3. Step 3: Cross multiply
    840.20x = 1,160.04 × 619.40
  4. Step 4: Simplify right side
    840.20x = 718,528.78
  5. Step 5: Solve for x
    x = 718,528.78/840.20
  6. Step 6: Final answer
    x = 855.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.