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Finding the Fourth Proportional to 1,191.84, 1,788.84 and 917.04

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Solution

The fourth proportional to 1,191.84, 1,788.84 and 917.04 is: 1,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.84 : 1,788.84 = 917.04 : x
  2. Step 2: Convert to fraction form
    1,191.84/1,788.84 = 917.04/x
  3. Step 3: Cross multiply
    1,191.84x = 1,788.84 × 917.04
  4. Step 4: Simplify right side
    1,191.84x = 1,640,437.83
  5. Step 5: Solve for x
    x = 1,640,437.83/1,191.84
  6. Step 6: Final answer
    x = 1,376.39

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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.