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Finding the Fourth Proportional to 1,200.76, 1,801.10 and 497.88

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Solution

The fourth proportional to 1,200.76, 1,801.10 and 497.88 is: 746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.76 : 1,801.10 = 497.88 : x
  2. Step 2: Convert to fraction form
    1,200.76/1,801.10 = 497.88/x
  3. Step 3: Cross multiply
    1,200.76x = 1,801.10 × 497.88
  4. Step 4: Simplify right side
    1,200.76x = 896,731.67
  5. Step 5: Solve for x
    x = 896,731.67/1,200.76
  6. Step 6: Final answer
    x = 746.80

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