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Finding the Fourth Proportional to 1,454.25, 2,007.13 and 824.99

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Solution

The fourth proportional to 1,454.25, 2,007.13 and 824.99 is: 1,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.25 : 2,007.13 = 824.99 : x
  2. Step 2: Convert to fraction form
    1,454.25/2,007.13 = 824.99/x
  3. Step 3: Cross multiply
    1,454.25x = 2,007.13 × 824.99
  4. Step 4: Simplify right side
    1,454.25x = 1,655,862.18
  5. Step 5: Solve for x
    x = 1,655,862.18/1,454.25
  6. Step 6: Final answer
    x = 1,138.64

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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.