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Finding the Fourth Proportional to 1,453.81, 2,180.78 and 632.13

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Solution

The fourth proportional to 1,453.81, 2,180.78 and 632.13 is: 948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.81 : 2,180.78 = 632.13 : x
  2. Step 2: Convert to fraction form
    1,453.81/2,180.78 = 632.13/x
  3. Step 3: Cross multiply
    1,453.81x = 2,180.78 × 632.13
  4. Step 4: Simplify right side
    1,453.81x = 1,378,536.46
  5. Step 5: Solve for x
    x = 1,378,536.46/1,453.81
  6. Step 6: Final answer
    x = 948.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.