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Finding the Fourth Proportional to 1,260.62, 1,739.10 and 840.57

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Solution

The fourth proportional to 1,260.62, 1,739.10 and 840.57 is: 1,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.62 : 1,739.10 = 840.57 : x
  2. Step 2: Convert to fraction form
    1,260.62/1,739.10 = 840.57/x
  3. Step 3: Cross multiply
    1,260.62x = 1,739.10 × 840.57
  4. Step 4: Simplify right side
    1,260.62x = 1,461,835.29
  5. Step 5: Solve for x
    x = 1,461,835.29/1,260.62
  6. Step 6: Final answer
    x = 1,159.62

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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.