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Finding the Fourth Proportional to 1,454, 2,006.52 and 833

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Solution

The fourth proportional to 1,454, 2,006.52 and 833 is: 1,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454 : 2,006.52 = 833 : x
  2. Step 2: Convert to fraction form
    1,454/2,006.52 = 833/x
  3. Step 3: Cross multiply
    1,454x = 2,006.52 × 833
  4. Step 4: Simplify right side
    1,454x = 1,671,431.16
  5. Step 5: Solve for x
    x = 1,671,431.16/1,454
  6. Step 6: Final answer
    x = 1,149.54

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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.