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Finding the Fourth Proportional to 1,498.26, 2,068.06 and 868.94

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Solution

The fourth proportional to 1,498.26, 2,068.06 and 868.94 is: 1,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.26 : 2,068.06 = 868.94 : x
  2. Step 2: Convert to fraction form
    1,498.26/2,068.06 = 868.94/x
  3. Step 3: Cross multiply
    1,498.26x = 2,068.06 × 868.94
  4. Step 4: Simplify right side
    1,498.26x = 1,797,020.06
  5. Step 5: Solve for x
    x = 1,797,020.06/1,498.26
  6. Step 6: Final answer
    x = 1,199.40

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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.