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Finding the Fourth Proportional to 840.47, 1,259.55 and 378.14

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Solution

The fourth proportional to 840.47, 1,259.55 and 378.14 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.47 : 1,259.55 = 378.14 : x
  2. Step 2: Convert to fraction form
    840.47/1,259.55 = 378.14/x
  3. Step 3: Cross multiply
    840.47x = 1,259.55 × 378.14
  4. Step 4: Simplify right side
    840.47x = 476,279.94
  5. Step 5: Solve for x
    x = 476,279.94/840.47
  6. Step 6: Final answer
    x = 566.69

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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.