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Finding the Fourth Proportional to 782.04, 1,167.75 and 699.24

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Solution

The fourth proportional to 782.04, 1,167.75 and 699.24 is: 1,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.04 : 1,167.75 = 699.24 : x
  2. Step 2: Convert to fraction form
    782.04/1,167.75 = 699.24/x
  3. Step 3: Cross multiply
    782.04x = 1,167.75 × 699.24
  4. Step 4: Simplify right side
    782.04x = 816,537.51
  5. Step 5: Solve for x
    x = 816,537.51/782.04
  6. Step 6: Final answer
    x = 1,044.11

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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.