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Finding the Fourth Proportional to 1,454.34, 2,006.97 and 824.88

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Solution

The fourth proportional to 1,454.34, 2,006.97 and 824.88 is: 1,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.34 : 2,006.97 = 824.88 : x
  2. Step 2: Convert to fraction form
    1,454.34/2,006.97 = 824.88/x
  3. Step 3: Cross multiply
    1,454.34x = 2,006.97 × 824.88
  4. Step 4: Simplify right side
    1,454.34x = 1,655,509.41
  5. Step 5: Solve for x
    x = 1,655,509.41/1,454.34
  6. Step 6: Final answer
    x = 1,138.32

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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.