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Finding the Fourth Proportional to 1,470.99, 2,206.77 and 497.25

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Solution

The fourth proportional to 1,470.99, 2,206.77 and 497.25 is: 745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.99 : 2,206.77 = 497.25 : x
  2. Step 2: Convert to fraction form
    1,470.99/2,206.77 = 497.25/x
  3. Step 3: Cross multiply
    1,470.99x = 2,206.77 × 497.25
  4. Step 4: Simplify right side
    1,470.99x = 1,097,316.38
  5. Step 5: Solve for x
    x = 1,097,316.38/1,470.99
  6. Step 6: Final answer
    x = 745.97

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