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Finding the Fourth Proportional to 844.03, 1,264.30 and 782.52

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Solution

The fourth proportional to 844.03, 1,264.30 and 782.52 is: 1,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.03 : 1,264.30 = 782.52 : x
  2. Step 2: Convert to fraction form
    844.03/1,264.30 = 782.52/x
  3. Step 3: Cross multiply
    844.03x = 1,264.30 × 782.52
  4. Step 4: Simplify right side
    844.03x = 989,340.04
  5. Step 5: Solve for x
    x = 989,340.04/844.03
  6. Step 6: Final answer
    x = 1,172.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.