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Finding the Fourth Proportional to 1,193.84, 1,791.93 and 647.19

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Solution

The fourth proportional to 1,193.84, 1,791.93 and 647.19 is: 971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.84 : 1,791.93 = 647.19 : x
  2. Step 2: Convert to fraction form
    1,193.84/1,791.93 = 647.19/x
  3. Step 3: Cross multiply
    1,193.84x = 1,791.93 × 647.19
  4. Step 4: Simplify right side
    1,193.84x = 1,159,719.18
  5. Step 5: Solve for x
    x = 1,159,719.18/1,193.84
  6. Step 6: Final answer
    x = 971.42

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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.