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Finding the Fourth Proportional to 1,260.63, 1,738.45 and 841.00

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Solution

The fourth proportional to 1,260.63, 1,738.45 and 841.00 is: 1,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.63 : 1,738.45 = 841.00 : x
  2. Step 2: Convert to fraction form
    1,260.63/1,738.45 = 841.00/x
  3. Step 3: Cross multiply
    1,260.63x = 1,738.45 × 841.00
  4. Step 4: Simplify right side
    1,260.63x = 1,462,039.67
  5. Step 5: Solve for x
    x = 1,462,039.67/1,260.63
  6. Step 6: Final answer
    x = 1,159.77

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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.