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Finding the Fourth Proportional to 1,193.66, 1,647.96 and 751.94

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Solution

The fourth proportional to 1,193.66, 1,647.96 and 751.94 is: 1,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.66 : 1,647.96 = 751.94 : x
  2. Step 2: Convert to fraction form
    1,193.66/1,647.96 = 751.94/x
  3. Step 3: Cross multiply
    1,193.66x = 1,647.96 × 751.94
  4. Step 4: Simplify right side
    1,193.66x = 1,239,167.04
  5. Step 5: Solve for x
    x = 1,239,167.04/1,193.66
  6. Step 6: Final answer
    x = 1,038.12

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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.