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Finding the Fourth Proportional to 1,454, 2,182.52 and 632.68

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Solution

The fourth proportional to 1,454, 2,182.52 and 632.68 is: 949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454 : 2,182.52 = 632.68 : x
  2. Step 2: Convert to fraction form
    1,454/2,182.52 = 632.68/x
  3. Step 3: Cross multiply
    1,454x = 2,182.52 × 632.68
  4. Step 4: Simplify right side
    1,454x = 1,380,836.75
  5. Step 5: Solve for x
    x = 1,380,836.75/1,454
  6. Step 6: Final answer
    x = 949.68

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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.