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Finding the Fourth Proportional to 1,182.88, 1,632.25 and 685.68

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Solution

The fourth proportional to 1,182.88, 1,632.25 and 685.68 is: 946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.88 : 1,632.25 = 685.68 : x
  2. Step 2: Convert to fraction form
    1,182.88/1,632.25 = 685.68/x
  3. Step 3: Cross multiply
    1,182.88x = 1,632.25 × 685.68
  4. Step 4: Simplify right side
    1,182.88x = 1,119,199.47
  5. Step 5: Solve for x
    x = 1,119,199.47/1,182.88
  6. Step 6: Final answer
    x = 946.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.