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Finding the Fourth Proportional to 840.74, 1,260.61 and 346.77

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Solution

The fourth proportional to 840.74, 1,260.61 and 346.77 is: 519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.74 : 1,260.61 = 346.77 : x
  2. Step 2: Convert to fraction form
    840.74/1,260.61 = 346.77/x
  3. Step 3: Cross multiply
    840.74x = 1,260.61 × 346.77
  4. Step 4: Simplify right side
    840.74x = 437,141.73
  5. Step 5: Solve for x
    x = 437,141.73/840.74
  6. Step 6: Final answer
    x = 519.95

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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.