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Finding the Fourth Proportional to 1,454.49, 2,006.98 and 865.01

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Solution

The fourth proportional to 1,454.49, 2,006.98 and 865.01 is: 1,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.49 : 2,006.98 = 865.01 : x
  2. Step 2: Convert to fraction form
    1,454.49/2,006.98 = 865.01/x
  3. Step 3: Cross multiply
    1,454.49x = 2,006.98 × 865.01
  4. Step 4: Simplify right side
    1,454.49x = 1,736,060.62
  5. Step 5: Solve for x
    x = 1,736,060.62/1,454.49
  6. Step 6: Final answer
    x = 1,193.59

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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.