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Finding the Fourth Proportional to 784.00, 1,180.63 and 682.50

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Solution

The fourth proportional to 784.00, 1,180.63 and 682.50 is: 1,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.00 : 1,180.63 = 682.50 : x
  2. Step 2: Convert to fraction form
    784.00/1,180.63 = 682.50/x
  3. Step 3: Cross multiply
    784.00x = 1,180.63 × 682.50
  4. Step 4: Simplify right side
    784.00x = 805,785.26
  5. Step 5: Solve for x
    x = 805,785.26/784.00
  6. Step 6: Final answer
    x = 1,027.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.