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Finding the Fourth Proportional to 840.13, 1,260.61 and 378.23

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Solution

The fourth proportional to 840.13, 1,260.61 and 378.23 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.13 : 1,260.61 = 378.23 : x
  2. Step 2: Convert to fraction form
    840.13/1,260.61 = 378.23/x
  3. Step 3: Cross multiply
    840.13x = 1,260.61 × 378.23
  4. Step 4: Simplify right side
    840.13x = 476,800.52
  5. Step 5: Solve for x
    x = 476,800.52/840.13
  6. Step 6: Final answer
    x = 567.53

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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.