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Finding the Fourth Proportional to 1,260.88, 1,739.45 and 840.82

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Solution

The fourth proportional to 1,260.88, 1,739.45 and 840.82 is: 1,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.88 : 1,739.45 = 840.82 : x
  2. Step 2: Convert to fraction form
    1,260.88/1,739.45 = 840.82/x
  3. Step 3: Cross multiply
    1,260.88x = 1,739.45 × 840.82
  4. Step 4: Simplify right side
    1,260.88x = 1,462,551.45
  5. Step 5: Solve for x
    x = 1,462,551.45/1,260.88
  6. Step 6: Final answer
    x = 1,159.95

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Why These Related Problems?

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