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Finding the Fourth Proportional to 1,182.66, 1,632.75 and 900.68

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Solution

The fourth proportional to 1,182.66, 1,632.75 and 900.68 is: 1,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.66 : 1,632.75 = 900.68 : x
  2. Step 2: Convert to fraction form
    1,182.66/1,632.75 = 900.68/x
  3. Step 3: Cross multiply
    1,182.66x = 1,632.75 × 900.68
  4. Step 4: Simplify right side
    1,182.66x = 1,470,585.27
  5. Step 5: Solve for x
    x = 1,470,585.27/1,182.66
  6. Step 6: Final answer
    x = 1,243.46

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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.