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Finding the Fourth Proportional to 874.03, 1,304.27 and 782.02

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Solution

The fourth proportional to 874.03, 1,304.27 and 782.02 is: 1,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.03 : 1,304.27 = 782.02 : x
  2. Step 2: Convert to fraction form
    874.03/1,304.27 = 782.02/x
  3. Step 3: Cross multiply
    874.03x = 1,304.27 × 782.02
  4. Step 4: Simplify right side
    874.03x = 1,019,965.23
  5. Step 5: Solve for x
    x = 1,019,965.23/874.03
  6. Step 6: Final answer
    x = 1,166.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.