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Finding the Fourth Proportional to 1,182.84, 1,632.04 and 685.36

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Solution

The fourth proportional to 1,182.84, 1,632.04 and 685.36 is: 945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.84 : 1,632.04 = 685.36 : x
  2. Step 2: Convert to fraction form
    1,182.84/1,632.04 = 685.36/x
  3. Step 3: Cross multiply
    1,182.84x = 1,632.04 × 685.36
  4. Step 4: Simplify right side
    1,182.84x = 1,118,534.93
  5. Step 5: Solve for x
    x = 1,118,534.93/1,182.84
  6. Step 6: Final answer
    x = 945.64

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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.